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Finding the Fourth Proportional to 12,534.69, 17,293.26 and 7,499.04

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Solution

The fourth proportional to 12,534.69, 17,293.26 and 7,499.04 is: 10,345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.69 : 17,293.26 = 7,499.04 : x
  2. Step 2: Convert to fraction form
    12,534.69/17,293.26 = 7,499.04/x
  3. Step 3: Cross multiply
    12,534.69x = 17,293.26 × 7,499.04
  4. Step 4: Simplify right side
    12,534.69x = 129,682,848.47
  5. Step 5: Solve for x
    x = 129,682,848.47/12,534.69
  6. Step 6: Final answer
    x = 10,345.92

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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.