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Finding the Fourth Proportional to 25,685, 35,448.18 and 14,507.72

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Solution

The fourth proportional to 25,685, 35,448.18 and 14,507.72 is: 20,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,685 : 35,448.18 = 14,507.72 : x
  2. Step 2: Convert to fraction form
    25,685/35,448.18 = 14,507.72/x
  3. Step 3: Cross multiply
    25,685x = 35,448.18 × 14,507.72
  4. Step 4: Simplify right side
    25,685x = 514,272,269.95
  5. Step 5: Solve for x
    x = 514,272,269.95/25,685
  6. Step 6: Final answer
    x = 20,022.28

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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.