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Finding the Fourth Proportional to 24,215.40, 36,298.80 and 11,077.20

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Solution

The fourth proportional to 24,215.40, 36,298.80 and 11,077.20 is: 16,604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,215.40 : 36,298.80 = 11,077.20 : x
  2. Step 2: Convert to fraction form
    24,215.40/36,298.80 = 11,077.20/x
  3. Step 3: Cross multiply
    24,215.40x = 36,298.80 × 11,077.20
  4. Step 4: Simplify right side
    24,215.40x = 402,089,067.36
  5. Step 5: Solve for x
    x = 402,089,067.36/24,215.40
  6. Step 6: Final answer
    x = 16,604.68

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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.