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Finding the Fourth Proportional to 24,494.74, 36,720.61 and 8,697.31

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Solution

The fourth proportional to 24,494.74, 36,720.61 and 8,697.31 is: 13,038.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.74 : 36,720.61 = 8,697.31 : x
  2. Step 2: Convert to fraction form
    24,494.74/36,720.61 = 8,697.31/x
  3. Step 3: Cross multiply
    24,494.74x = 36,720.61 × 8,697.31
  4. Step 4: Simplify right side
    24,494.74x = 319,370,415.01
  5. Step 5: Solve for x
    x = 319,370,415.01/24,494.74
  6. Step 6: Final answer
    x = 13,038.33

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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.