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Finding the Fourth Proportional to 16,298.88, 22,491.18 and 9,584.76

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Solution

The fourth proportional to 16,298.88, 22,491.18 and 9,584.76 is: 13,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.88 : 22,491.18 = 9,584.76 : x
  2. Step 2: Convert to fraction form
    16,298.88/22,491.18 = 9,584.76/x
  3. Step 3: Cross multiply
    16,298.88x = 22,491.18 × 9,584.76
  4. Step 4: Simplify right side
    16,298.88x = 215,572,562.42
  5. Step 5: Solve for x
    x = 215,572,562.42/16,298.88
  6. Step 6: Final answer
    x = 13,226.22

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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.