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Finding the Fourth Proportional to 14,586.80, 21,876.80 and 5,702.31

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Solution

The fourth proportional to 14,586.80, 21,876.80 and 5,702.31 is: 8,552.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,586.80 : 21,876.80 = 5,702.31 : x
  2. Step 2: Convert to fraction form
    14,586.80/21,876.80 = 5,702.31/x
  3. Step 3: Cross multiply
    14,586.80x = 21,876.80 × 5,702.31
  4. Step 4: Simplify right side
    14,586.80x = 124,748,266.90
  5. Step 5: Solve for x
    x = 124,748,266.90/14,586.80
  6. Step 6: Final answer
    x = 8,552.14

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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.