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Finding the Fourth Proportional to 19,224, 26,530.74 and 10,842.12

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Solution

The fourth proportional to 19,224, 26,530.74 and 10,842.12 is: 14,963.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224 : 26,530.74 = 10,842.12 : x
  2. Step 2: Convert to fraction form
    19,224/26,530.74 = 10,842.12/x
  3. Step 3: Cross multiply
    19,224x = 26,530.74 × 10,842.12
  4. Step 4: Simplify right side
    19,224x = 287,649,466.77
  5. Step 5: Solve for x
    x = 287,649,466.77/19,224
  6. Step 6: Final answer
    x = 14,963.04

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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.