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Finding the Fourth Proportional to 12,533.68, 17,291.90 and 7,498.04

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Solution

The fourth proportional to 12,533.68, 17,291.90 and 7,498.04 is: 10,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.68 : 17,291.90 = 7,498.04 : x
  2. Step 2: Convert to fraction form
    12,533.68/17,291.90 = 7,498.04/x
  3. Step 3: Cross multiply
    12,533.68x = 17,291.90 × 7,498.04
  4. Step 4: Simplify right side
    12,533.68x = 129,655,320.39
  5. Step 5: Solve for x
    x = 129,655,320.39/12,533.68
  6. Step 6: Final answer
    x = 10,344.56

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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.