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Finding the Fourth Proportional to 16,663.76, 22,992.56 and 9,947.24

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Solution

The fourth proportional to 16,663.76, 22,992.56 and 9,947.24 is: 13,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,663.76 : 22,992.56 = 9,947.24 : x
  2. Step 2: Convert to fraction form
    16,663.76/22,992.56 = 9,947.24/x
  3. Step 3: Cross multiply
    16,663.76x = 22,992.56 × 9,947.24
  4. Step 4: Simplify right side
    16,663.76x = 228,712,512.53
  5. Step 5: Solve for x
    x = 228,712,512.53/16,663.76
  6. Step 6: Final answer
    x = 13,725.14

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1.5x scale

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.