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Finding the Fourth Proportional to 12,442.17, 17,173.80 and 7,409.91

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Solution

The fourth proportional to 12,442.17, 17,173.80 and 7,409.91 is: 10,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442.17 : 17,173.80 = 7,409.91 : x
  2. Step 2: Convert to fraction form
    12,442.17/17,173.80 = 7,409.91/x
  3. Step 3: Cross multiply
    12,442.17x = 17,173.80 × 7,409.91
  4. Step 4: Simplify right side
    12,442.17x = 127,256,312.36
  5. Step 5: Solve for x
    x = 127,256,312.36/12,442.17
  6. Step 6: Final answer
    x = 10,227.82

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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.