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Finding the Fourth Proportional to 24,415.70, 36,581.78 and 13,330.19

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Solution

The fourth proportional to 24,415.70, 36,581.78 and 13,330.19 is: 19,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,415.70 : 36,581.78 = 13,330.19 : x
  2. Step 2: Convert to fraction form
    24,415.70/36,581.78 = 13,330.19/x
  3. Step 3: Cross multiply
    24,415.70x = 36,581.78 × 13,330.19
  4. Step 4: Simplify right side
    24,415.70x = 487,642,202.72
  5. Step 5: Solve for x
    x = 487,642,202.72/24,415.70
  6. Step 6: Final answer
    x = 19,972.49

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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.