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Finding the Fourth Proportional to 16,380.76, 22,605.46 and 9,666.46

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Solution

The fourth proportional to 16,380.76, 22,605.46 and 9,666.46 is: 13,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,380.76 : 22,605.46 = 9,666.46 : x
  2. Step 2: Convert to fraction form
    16,380.76/22,605.46 = 9,666.46/x
  3. Step 3: Cross multiply
    16,380.76x = 22,605.46 × 9,666.46
  4. Step 4: Simplify right side
    16,380.76x = 218,514,774.87
  5. Step 5: Solve for x
    x = 218,514,774.87/16,380.76
  6. Step 6: Final answer
    x = 13,339.72

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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.