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Finding the Fourth Proportional to 16,591.40, 22,894.61 and 9,878.66

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Solution

The fourth proportional to 16,591.40, 22,894.61 and 9,878.66 is: 13,631.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,591.40 : 22,894.61 = 9,878.66 : x
  2. Step 2: Convert to fraction form
    16,591.40/22,894.61 = 9,878.66/x
  3. Step 3: Cross multiply
    16,591.40x = 22,894.61 × 9,878.66
  4. Step 4: Simplify right side
    16,591.40x = 226,167,904.16
  5. Step 5: Solve for x
    x = 226,167,904.16/16,591.40
  6. Step 6: Final answer
    x = 13,631.64

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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.