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Finding the Fourth Proportional to 12,358.61, 17,062.74 and 8,117.20

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Solution

The fourth proportional to 12,358.61, 17,062.74 and 8,117.20 is: 11,206.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.61 : 17,062.74 = 8,117.20 : x
  2. Step 2: Convert to fraction form
    12,358.61/17,062.74 = 8,117.20/x
  3. Step 3: Cross multiply
    12,358.61x = 17,062.74 × 8,117.20
  4. Step 4: Simplify right side
    12,358.61x = 138,501,694.46
  5. Step 5: Solve for x
    x = 138,501,694.46/12,358.61
  6. Step 6: Final answer
    x = 11,206.90

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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.