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Finding the Fourth Proportional to 16,680, 23,014.71 and 9,964.59

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Solution

The fourth proportional to 16,680, 23,014.71 and 9,964.59 is: 13,748.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,680 : 23,014.71 = 9,964.59 : x
  2. Step 2: Convert to fraction form
    16,680/23,014.71 = 9,964.59/x
  3. Step 3: Cross multiply
    16,680x = 23,014.71 × 9,964.59
  4. Step 4: Simplify right side
    16,680x = 229,332,149.12
  5. Step 5: Solve for x
    x = 229,332,149.12/16,680
  6. Step 6: Final answer
    x = 13,748.93

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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.