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Finding the Fourth Proportional to 24,350.78, 36,523.73 and 6,820.76

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Solution

The fourth proportional to 24,350.78, 36,523.73 and 6,820.76 is: 10,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,350.78 : 36,523.73 = 6,820.76 : x
  2. Step 2: Convert to fraction form
    24,350.78/36,523.73 = 6,820.76/x
  3. Step 3: Cross multiply
    24,350.78x = 36,523.73 × 6,820.76
  4. Step 4: Simplify right side
    24,350.78x = 249,119,379.91
  5. Step 5: Solve for x
    x = 249,119,379.91/24,350.78
  6. Step 6: Final answer
    x = 10,230.45

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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.