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Finding the Fourth Proportional to 15,702.62, 23,562 and 8,681.33

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Solution

The fourth proportional to 15,702.62, 23,562 and 8,681.33 is: 13,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.62 : 23,562 = 8,681.33 : x
  2. Step 2: Convert to fraction form
    15,702.62/23,562 = 8,681.33/x
  3. Step 3: Cross multiply
    15,702.62x = 23,562 × 8,681.33
  4. Step 4: Simplify right side
    15,702.62x = 204,549,497.46
  5. Step 5: Solve for x
    x = 204,549,497.46/15,702.62
  6. Step 6: Final answer
    x = 13,026.46

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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.