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Finding the Fourth Proportional to 25,817.92, 35,632 and 14,637.76

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Solution

The fourth proportional to 25,817.92, 35,632 and 14,637.76 is: 20,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,817.92 : 35,632 = 14,637.76 : x
  2. Step 2: Convert to fraction form
    25,817.92/35,632 = 14,637.76/x
  3. Step 3: Cross multiply
    25,817.92x = 35,632 × 14,637.76
  4. Step 4: Simplify right side
    25,817.92x = 521,572,664.32
  5. Step 5: Solve for x
    x = 521,572,664.32/25,817.92
  6. Step 6: Final answer
    x = 20,201.96

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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.