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Finding the Fourth Proportional to 25,752.96, 35,538.12 and 14,574.96

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Solution

The fourth proportional to 25,752.96, 35,538.12 and 14,574.96 is: 20,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,752.96 : 35,538.12 = 14,574.96 : x
  2. Step 2: Convert to fraction form
    25,752.96/35,538.12 = 14,574.96/x
  3. Step 3: Cross multiply
    25,752.96x = 35,538.12 × 14,574.96
  4. Step 4: Simplify right side
    25,752.96x = 517,966,677.48
  5. Step 5: Solve for x
    x = 517,966,677.48/25,752.96
  6. Step 6: Final answer
    x = 20,112.90

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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.