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Finding the Fourth Proportional to 12,159.69, 16,780.34 and 6,854.46

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Solution

The fourth proportional to 12,159.69, 16,780.34 and 6,854.46 is: 9,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.69 : 16,780.34 = 6,854.46 : x
  2. Step 2: Convert to fraction form
    12,159.69/16,780.34 = 6,854.46/x
  3. Step 3: Cross multiply
    12,159.69x = 16,780.34 × 6,854.46
  4. Step 4: Simplify right side
    12,159.69x = 115,020,245.83
  5. Step 5: Solve for x
    x = 115,020,245.83/12,159.69
  6. Step 6: Final answer
    x = 9,459.15

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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.