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Finding the Fourth Proportional to 19,806.24, 29,728.80 and 14,887.92

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Solution

The fourth proportional to 19,806.24, 29,728.80 and 14,887.92 is: 22,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.24 : 29,728.80 = 14,887.92 : x
  2. Step 2: Convert to fraction form
    19,806.24/29,728.80 = 14,887.92/x
  3. Step 3: Cross multiply
    19,806.24x = 29,728.80 × 14,887.92
  4. Step 4: Simplify right side
    19,806.24x = 442,599,996.10
  5. Step 5: Solve for x
    x = 442,599,996.10/19,806.24
  6. Step 6: Final answer
    x = 22,346.49

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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.