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Finding the Fourth Proportional to 24,574.32, 36,856.04 and 7,040.24

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Solution

The fourth proportional to 24,574.32, 36,856.04 and 7,040.24 is: 10,558.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,574.32 : 36,856.04 = 7,040.24 : x
  2. Step 2: Convert to fraction form
    24,574.32/36,856.04 = 7,040.24/x
  3. Step 3: Cross multiply
    24,574.32x = 36,856.04 × 7,040.24
  4. Step 4: Simplify right side
    24,574.32x = 259,475,367.05
  5. Step 5: Solve for x
    x = 259,475,367.05/24,574.32
  6. Step 6: Final answer
    x = 10,558.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.