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Finding the Fourth Proportional to 24,411.70, 36,575.74 and 13,326.16

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Solution

The fourth proportional to 24,411.70, 36,575.74 and 13,326.16 is: 19,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,411.70 : 36,575.74 = 13,326.16 : x
  2. Step 2: Convert to fraction form
    24,411.70/36,575.74 = 13,326.16/x
  3. Step 3: Cross multiply
    24,411.70x = 36,575.74 × 13,326.16
  4. Step 4: Simplify right side
    24,411.70x = 487,414,163.36
  5. Step 5: Solve for x
    x = 487,414,163.36/24,411.70
  6. Step 6: Final answer
    x = 19,966.42

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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.