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Finding the Fourth Proportional to 12,337.80, 17,024.16 and 7,623.60

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Solution

The fourth proportional to 12,337.80, 17,024.16 and 7,623.60 is: 10,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.80 : 17,024.16 = 7,623.60 : x
  2. Step 2: Convert to fraction form
    12,337.80/17,024.16 = 7,623.60/x
  3. Step 3: Cross multiply
    12,337.80x = 17,024.16 × 7,623.60
  4. Step 4: Simplify right side
    12,337.80x = 129,785,386.18
  5. Step 5: Solve for x
    x = 129,785,386.18/12,337.80
  6. Step 6: Final answer
    x = 10,519.33

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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.