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Finding the Fourth Proportional to 24,290.44, 36,440.78 and 7,655.20

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Solution

The fourth proportional to 24,290.44, 36,440.78 and 7,655.20 is: 11,484.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290.44 : 36,440.78 = 7,655.20 : x
  2. Step 2: Convert to fraction form
    24,290.44/36,440.78 = 7,655.20/x
  3. Step 3: Cross multiply
    24,290.44x = 36,440.78 × 7,655.20
  4. Step 4: Simplify right side
    24,290.44x = 278,961,459.06
  5. Step 5: Solve for x
    x = 278,961,459.06/24,290.44
  6. Step 6: Final answer
    x = 11,484.41

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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.