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Finding the Fourth Proportional to 15,686.85, 21,648.12 and 8,516.77

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Solution

The fourth proportional to 15,686.85, 21,648.12 and 8,516.77 is: 11,753.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.85 : 21,648.12 = 8,516.77 : x
  2. Step 2: Convert to fraction form
    15,686.85/21,648.12 = 8,516.77/x
  3. Step 3: Cross multiply
    15,686.85x = 21,648.12 × 8,516.77
  4. Step 4: Simplify right side
    15,686.85x = 184,371,972.91
  5. Step 5: Solve for x
    x = 184,371,972.91/15,686.85
  6. Step 6: Final answer
    x = 11,753.28

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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.