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Finding the Fourth Proportional to 25,688.72, 35,448.72 and 14,510

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Solution

The fourth proportional to 25,688.72, 35,448.72 and 14,510 is: 20,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,688.72 : 35,448.72 = 14,510 : x
  2. Step 2: Convert to fraction form
    25,688.72/35,448.72 = 14,510/x
  3. Step 3: Cross multiply
    25,688.72x = 35,448.72 × 14,510
  4. Step 4: Simplify right side
    25,688.72x = 514,360,927.20
  5. Step 5: Solve for x
    x = 514,360,927.20/25,688.72
  6. Step 6: Final answer
    x = 20,022.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.