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Finding the Fourth Proportional to 19,762.54, 27,273.16 and 11,381.74

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Solution

The fourth proportional to 19,762.54, 27,273.16 and 11,381.74 is: 15,707.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.54 : 27,273.16 = 11,381.74 : x
  2. Step 2: Convert to fraction form
    19,762.54/27,273.16 = 11,381.74/x
  3. Step 3: Cross multiply
    19,762.54x = 27,273.16 × 11,381.74
  4. Step 4: Simplify right side
    19,762.54x = 310,416,016.10
  5. Step 5: Solve for x
    x = 310,416,016.10/19,762.54
  6. Step 6: Final answer
    x = 15,707.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.