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Finding the Fourth Proportional to 15,730.48, 21,708.53 and 8,657.34

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Solution

The fourth proportional to 15,730.48, 21,708.53 and 8,657.34 is: 11,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.48 : 21,708.53 = 8,657.34 : x
  2. Step 2: Convert to fraction form
    15,730.48/21,708.53 = 8,657.34/x
  3. Step 3: Cross multiply
    15,730.48x = 21,708.53 × 8,657.34
  4. Step 4: Simplify right side
    15,730.48x = 187,938,125.11
  5. Step 5: Solve for x
    x = 187,938,125.11/15,730.48
  6. Step 6: Final answer
    x = 11,947.39

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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.