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Finding the Fourth Proportional to 19,728.40, 29,657.40 and 16,877.20

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Solution

The fourth proportional to 19,728.40, 29,657.40 and 16,877.20 is: 25,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,728.40 : 29,657.40 = 16,877.20 : x
  2. Step 2: Convert to fraction form
    19,728.40/29,657.40 = 16,877.20/x
  3. Step 3: Cross multiply
    19,728.40x = 29,657.40 × 16,877.20
  4. Step 4: Simplify right side
    19,728.40x = 500,533,871.28
  5. Step 5: Solve for x
    x = 500,533,871.28/19,728.40
  6. Step 6: Final answer
    x = 25,371.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.