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Finding the Fourth Proportional to 16,584.66, 22,886.58 and 9,132.66

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Solution

The fourth proportional to 16,584.66, 22,886.58 and 9,132.66 is: 12,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.66 : 22,886.58 = 9,132.66 : x
  2. Step 2: Convert to fraction form
    16,584.66/22,886.58 = 9,132.66/x
  3. Step 3: Cross multiply
    16,584.66x = 22,886.58 × 9,132.66
  4. Step 4: Simplify right side
    16,584.66x = 209,015,353.70
  5. Step 5: Solve for x
    x = 209,015,353.70/16,584.66
  6. Step 6: Final answer
    x = 12,602.93

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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.