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Finding the Fourth Proportional to 16,584.50, 22,886.62 and 9,132.50

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Solution

The fourth proportional to 16,584.50, 22,886.62 and 9,132.50 is: 12,602.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.50 : 22,886.62 = 9,132.50 : x
  2. Step 2: Convert to fraction form
    16,584.50/22,886.62 = 9,132.50/x
  3. Step 3: Cross multiply
    16,584.50x = 22,886.62 × 9,132.50
  4. Step 4: Simplify right side
    16,584.50x = 209,012,057.15
  5. Step 5: Solve for x
    x = 209,012,057.15/16,584.50
  6. Step 6: Final answer
    x = 12,602.86

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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.