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Finding the Fourth Proportional to 24,483.12, 36,739.20 and 8,901.96

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Solution

The fourth proportional to 24,483.12, 36,739.20 and 8,901.96 is: 13,358.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,483.12 : 36,739.20 = 8,901.96 : x
  2. Step 2: Convert to fraction form
    24,483.12/36,739.20 = 8,901.96/x
  3. Step 3: Cross multiply
    24,483.12x = 36,739.20 × 8,901.96
  4. Step 4: Simplify right side
    24,483.12x = 327,050,888.83
  5. Step 5: Solve for x
    x = 327,050,888.83/24,483.12
  6. Step 6: Final answer
    x = 13,358.22

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Why These Related Problems?

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