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Finding the Fourth Proportional to 12,498.40, 17,253.36 and 7,785.84

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Solution

The fourth proportional to 12,498.40, 17,253.36 and 7,785.84 is: 10,747.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.40 : 17,253.36 = 7,785.84 : x
  2. Step 2: Convert to fraction form
    12,498.40/17,253.36 = 7,785.84/x
  3. Step 3: Cross multiply
    12,498.40x = 17,253.36 × 7,785.84
  4. Step 4: Simplify right side
    12,498.40x = 134,331,900.42
  5. Step 5: Solve for x
    x = 134,331,900.42/12,498.40
  6. Step 6: Final answer
    x = 10,747.93

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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.