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Finding the Fourth Proportional to 16,135.59, 22,267.40 and 8,966.16

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Solution

The fourth proportional to 16,135.59, 22,267.40 and 8,966.16 is: 12,373.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.59 : 22,267.40 = 8,966.16 : x
  2. Step 2: Convert to fraction form
    16,135.59/22,267.40 = 8,966.16/x
  3. Step 3: Cross multiply
    16,135.59x = 22,267.40 × 8,966.16
  4. Step 4: Simplify right side
    16,135.59x = 199,653,109.86
  5. Step 5: Solve for x
    x = 199,653,109.86/16,135.59
  6. Step 6: Final answer
    x = 12,373.46

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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.