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Finding the Fourth Proportional to 25,407.24, 35,069.40 and 16,454.40

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Solution

The fourth proportional to 25,407.24, 35,069.40 and 16,454.40 is: 22,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407.24 : 35,069.40 = 16,454.40 : x
  2. Step 2: Convert to fraction form
    25,407.24/35,069.40 = 16,454.40/x
  3. Step 3: Cross multiply
    25,407.24x = 35,069.40 × 16,454.40
  4. Step 4: Simplify right side
    25,407.24x = 577,045,935.36
  5. Step 5: Solve for x
    x = 577,045,935.36/25,407.24
  6. Step 6: Final answer
    x = 22,711.87

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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.