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Finding the Fourth Proportional to 16,142.36, 22,270.05 and 9,335.13

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Solution

The fourth proportional to 16,142.36, 22,270.05 and 9,335.13 is: 12,878.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.36 : 22,270.05 = 9,335.13 : x
  2. Step 2: Convert to fraction form
    16,142.36/22,270.05 = 9,335.13/x
  3. Step 3: Cross multiply
    16,142.36x = 22,270.05 × 9,335.13
  4. Step 4: Simplify right side
    16,142.36x = 207,893,811.86
  5. Step 5: Solve for x
    x = 207,893,811.86/16,142.36
  6. Step 6: Final answer
    x = 12,878.78

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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.