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Finding the Fourth Proportional to 12,453.68, 17,184.92 and 7,417.10

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Solution

The fourth proportional to 12,453.68, 17,184.92 and 7,417.10 is: 10,234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,453.68 : 17,184.92 = 7,417.10 : x
  2. Step 2: Convert to fraction form
    12,453.68/17,184.92 = 7,417.10/x
  3. Step 3: Cross multiply
    12,453.68x = 17,184.92 × 7,417.10
  4. Step 4: Simplify right side
    12,453.68x = 127,462,270.13
  5. Step 5: Solve for x
    x = 127,462,270.13/12,453.68
  6. Step 6: Final answer
    x = 10,234.91

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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.