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Finding the Fourth Proportional to 16,174.80, 22,320.84 and 10,585.68

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Solution

The fourth proportional to 16,174.80, 22,320.84 and 10,585.68 is: 14,607.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.80 : 22,320.84 = 10,585.68 : x
  2. Step 2: Convert to fraction form
    16,174.80/22,320.84 = 10,585.68/x
  3. Step 3: Cross multiply
    16,174.80x = 22,320.84 × 10,585.68
  4. Step 4: Simplify right side
    16,174.80x = 236,281,269.57
  5. Step 5: Solve for x
    x = 236,281,269.57/16,174.80
  6. Step 6: Final answer
    x = 14,607.99

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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.