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Finding the Fourth Proportional to 24,022.83, 36,050.64 and 8,440.45

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Solution

The fourth proportional to 24,022.83, 36,050.64 and 8,440.45 is: 12,666.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,022.83 : 36,050.64 = 8,440.45 : x
  2. Step 2: Convert to fraction form
    24,022.83/36,050.64 = 8,440.45/x
  3. Step 3: Cross multiply
    24,022.83x = 36,050.64 × 8,440.45
  4. Step 4: Simplify right side
    24,022.83x = 304,283,776.61
  5. Step 5: Solve for x
    x = 304,283,776.61/24,022.83
  6. Step 6: Final answer
    x = 12,666.44

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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.