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Finding the Fourth Proportional to 19,541.92, 29,288.22 and 10,657.12

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Solution

The fourth proportional to 19,541.92, 29,288.22 and 10,657.12 is: 15,972.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.92 : 29,288.22 = 10,657.12 : x
  2. Step 2: Convert to fraction form
    19,541.92/29,288.22 = 10,657.12/x
  3. Step 3: Cross multiply
    19,541.92x = 29,288.22 × 10,657.12
  4. Step 4: Simplify right side
    19,541.92x = 312,128,075.13
  5. Step 5: Solve for x
    x = 312,128,075.13/19,541.92
  6. Step 6: Final answer
    x = 15,972.23

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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.