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Finding the Fourth Proportional to 16,425.16, 22,658.60 and 9,707.54

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Solution

The fourth proportional to 16,425.16, 22,658.60 and 9,707.54 is: 13,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425.16 : 22,658.60 = 9,707.54 : x
  2. Step 2: Convert to fraction form
    16,425.16/22,658.60 = 9,707.54/x
  3. Step 3: Cross multiply
    16,425.16x = 22,658.60 × 9,707.54
  4. Step 4: Simplify right side
    16,425.16x = 219,959,265.84
  5. Step 5: Solve for x
    x = 219,959,265.84/16,425.16
  6. Step 6: Final answer
    x = 13,391.61

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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.