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Finding the Fourth Proportional to 12,304.13, 16,980.77 and 10,059.76

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Solution

The fourth proportional to 12,304.13, 16,980.77 and 10,059.76 is: 13,883.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304.13 : 16,980.77 = 10,059.76 : x
  2. Step 2: Convert to fraction form
    12,304.13/16,980.77 = 10,059.76/x
  3. Step 3: Cross multiply
    12,304.13x = 16,980.77 × 10,059.76
  4. Step 4: Simplify right side
    12,304.13x = 170,822,335.61
  5. Step 5: Solve for x
    x = 170,822,335.61/12,304.13
  6. Step 6: Final answer
    x = 13,883.33

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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.