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Finding the Fourth Proportional to 16,315.46, 22,512.52 and 9,602.49

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Solution

The fourth proportional to 16,315.46, 22,512.52 and 9,602.49 is: 13,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,315.46 : 22,512.52 = 9,602.49 : x
  2. Step 2: Convert to fraction form
    16,315.46/22,512.52 = 9,602.49/x
  3. Step 3: Cross multiply
    16,315.46x = 22,512.52 × 9,602.49
  4. Step 4: Simplify right side
    16,315.46x = 216,176,248.17
  5. Step 5: Solve for x
    x = 216,176,248.17/16,315.46
  6. Step 6: Final answer
    x = 13,249.78

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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.