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Finding the Fourth Proportional to 24,024.83, 36,053.65 and 8,442.45

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Solution

The fourth proportional to 24,024.83, 36,053.65 and 8,442.45 is: 12,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,024.83 : 36,053.65 = 8,442.45 : x
  2. Step 2: Convert to fraction form
    24,024.83/36,053.65 = 8,442.45/x
  3. Step 3: Cross multiply
    24,024.83x = 36,053.65 × 8,442.45
  4. Step 4: Simplify right side
    24,024.83x = 304,381,137.44
  5. Step 5: Solve for x
    x = 304,381,137.44/24,024.83
  6. Step 6: Final answer
    x = 12,669.44

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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.