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Finding the Fourth Proportional to 15,702.25, 21,674.81 and 10,398.78

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Solution

The fourth proportional to 15,702.25, 21,674.81 and 10,398.78 is: 14,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,702.25 : 21,674.81 = 10,398.78 : x
  2. Step 2: Convert to fraction form
    15,702.25/21,674.81 = 10,398.78/x
  3. Step 3: Cross multiply
    15,702.25x = 21,674.81 × 10,398.78
  4. Step 4: Simplify right side
    15,702.25x = 225,391,580.73
  5. Step 5: Solve for x
    x = 225,391,580.73/15,702.25
  6. Step 6: Final answer
    x = 14,354.09

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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.