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Finding the Fourth Proportional to 15,761.46, 21,750.75 and 8,688

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Solution

The fourth proportional to 15,761.46, 21,750.75 and 8,688 is: 11,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.46 : 21,750.75 = 8,688 : x
  2. Step 2: Convert to fraction form
    15,761.46/21,750.75 = 8,688/x
  3. Step 3: Cross multiply
    15,761.46x = 21,750.75 × 8,688
  4. Step 4: Simplify right side
    15,761.46x = 188,970,516
  5. Step 5: Solve for x
    x = 188,970,516/15,761.46
  6. Step 6: Final answer
    x = 11,989.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.