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Finding the Fourth Proportional to 12,139.34, 16,752.17 and 6,834.02

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Solution

The fourth proportional to 12,139.34, 16,752.17 and 6,834.02 is: 9,430.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,139.34 : 16,752.17 = 6,834.02 : x
  2. Step 2: Convert to fraction form
    12,139.34/16,752.17 = 6,834.02/x
  3. Step 3: Cross multiply
    12,139.34x = 16,752.17 × 6,834.02
  4. Step 4: Simplify right side
    12,139.34x = 114,484,598.15
  5. Step 5: Solve for x
    x = 114,484,598.15/12,139.34
  6. Step 6: Final answer
    x = 9,430.88

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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.