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Finding the Fourth Proportional to 24,412.70, 36,577.24 and 13,327.16

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Solution

The fourth proportional to 24,412.70, 36,577.24 and 13,327.16 is: 19,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,412.70 : 36,577.24 = 13,327.16 : x
  2. Step 2: Convert to fraction form
    24,412.70/36,577.24 = 13,327.16/x
  3. Step 3: Cross multiply
    24,412.70x = 36,577.24 × 13,327.16
  4. Step 4: Simplify right side
    24,412.70x = 487,470,729.84
  5. Step 5: Solve for x
    x = 487,470,729.84/24,412.70
  6. Step 6: Final answer
    x = 19,967.92

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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.