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Finding the Fourth Proportional to 12,829.46, 17,712.02 and 9,780.65

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Solution

The fourth proportional to 12,829.46, 17,712.02 and 9,780.65 is: 13,502.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829.46 : 17,712.02 = 9,780.65 : x
  2. Step 2: Convert to fraction form
    12,829.46/17,712.02 = 9,780.65/x
  3. Step 3: Cross multiply
    12,829.46x = 17,712.02 × 9,780.65
  4. Step 4: Simplify right side
    12,829.46x = 173,234,930.95
  5. Step 5: Solve for x
    x = 173,234,930.95/12,829.46
  6. Step 6: Final answer
    x = 13,502.91

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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.