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Finding the Fourth Proportional to 12,535.32, 17,298.74 and 7,499.74

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Solution

The fourth proportional to 12,535.32, 17,298.74 and 7,499.74 is: 10,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.32 : 17,298.74 = 7,499.74 : x
  2. Step 2: Convert to fraction form
    12,535.32/17,298.74 = 7,499.74/x
  3. Step 3: Cross multiply
    12,535.32x = 17,298.74 × 7,499.74
  4. Step 4: Simplify right side
    12,535.32x = 129,736,052.33
  5. Step 5: Solve for x
    x = 129,736,052.33/12,535.32
  6. Step 6: Final answer
    x = 10,349.64

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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.