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Finding the Fourth Proportional to 25,232.27, 37,854.32 and 7,702.10

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Solution

The fourth proportional to 25,232.27, 37,854.32 and 7,702.10 is: 11,554.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,232.27 : 37,854.32 = 7,702.10 : x
  2. Step 2: Convert to fraction form
    25,232.27/37,854.32 = 7,702.10/x
  3. Step 3: Cross multiply
    25,232.27x = 37,854.32 × 7,702.10
  4. Step 4: Simplify right side
    25,232.27x = 291,557,530.29
  5. Step 5: Solve for x
    x = 291,557,530.29/25,232.27
  6. Step 6: Final answer
    x = 11,554.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.