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Finding the Fourth Proportional to 25,736, 35,516.64 and 14,557.76

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Solution

The fourth proportional to 25,736, 35,516.64 and 14,557.76 is: 20,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,736 : 35,516.64 = 14,557.76 : x
  2. Step 2: Convert to fraction form
    25,736/35,516.64 = 14,557.76/x
  3. Step 3: Cross multiply
    25,736x = 35,516.64 × 14,557.76
  4. Step 4: Simplify right side
    25,736x = 517,042,721.13
  5. Step 5: Solve for x
    x = 517,042,721.13/25,736
  6. Step 6: Final answer
    x = 20,090.25

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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.