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Finding the Fourth Proportional to 14,301.80, 19,736.54 and 8,014.24

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Solution

The fourth proportional to 14,301.80, 19,736.54 and 8,014.24 is: 11,059.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,301.80 : 19,736.54 = 8,014.24 : x
  2. Step 2: Convert to fraction form
    14,301.80/19,736.54 = 8,014.24/x
  3. Step 3: Cross multiply
    14,301.80x = 19,736.54 × 8,014.24
  4. Step 4: Simplify right side
    14,301.80x = 158,173,368.33
  5. Step 5: Solve for x
    x = 158,173,368.33/14,301.80
  6. Step 6: Final answer
    x = 11,059.68

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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.