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Finding the Fourth Proportional to 25,702.92, 35,460.03 and 16,138.77

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Solution

The fourth proportional to 25,702.92, 35,460.03 and 16,138.77 is: 22,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.92 : 35,460.03 = 16,138.77 : x
  2. Step 2: Convert to fraction form
    25,702.92/35,460.03 = 16,138.77/x
  3. Step 3: Cross multiply
    25,702.92x = 35,460.03 × 16,138.77
  4. Step 4: Simplify right side
    25,702.92x = 572,281,268.36
  5. Step 5: Solve for x
    x = 572,281,268.36/25,702.92
  6. Step 6: Final answer
    x = 22,265.22

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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.