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Finding the Fourth Proportional to 16,418.50, 22,657.56 and 8,966.50

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Solution

The fourth proportional to 16,418.50, 22,657.56 and 8,966.50 is: 12,373.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,418.50 : 22,657.56 = 8,966.50 : x
  2. Step 2: Convert to fraction form
    16,418.50/22,657.56 = 8,966.50/x
  3. Step 3: Cross multiply
    16,418.50x = 22,657.56 × 8,966.50
  4. Step 4: Simplify right side
    16,418.50x = 203,159,011.74
  5. Step 5: Solve for x
    x = 203,159,011.74/16,418.50
  6. Step 6: Final answer
    x = 12,373.79

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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.