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Finding the Fourth Proportional to 12,498.18, 17,247.76 and 7,461.46

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Solution

The fourth proportional to 12,498.18, 17,247.76 and 7,461.46 is: 10,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,498.18 : 17,247.76 = 7,461.46 : x
  2. Step 2: Convert to fraction form
    12,498.18/17,247.76 = 7,461.46/x
  3. Step 3: Cross multiply
    12,498.18x = 17,247.76 × 7,461.46
  4. Step 4: Simplify right side
    12,498.18x = 128,693,446.71
  5. Step 5: Solve for x
    x = 128,693,446.71/12,498.18
  6. Step 6: Final answer
    x = 10,296.98

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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.