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Finding the Fourth Proportional to 24,116.67, 36,178.65 and 8,533.08

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Solution

The fourth proportional to 24,116.67, 36,178.65 and 8,533.08 is: 12,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,116.67 : 36,178.65 = 8,533.08 : x
  2. Step 2: Convert to fraction form
    24,116.67/36,178.65 = 8,533.08/x
  3. Step 3: Cross multiply
    24,116.67x = 36,178.65 × 8,533.08
  4. Step 4: Simplify right side
    24,116.67x = 308,715,314.74
  5. Step 5: Solve for x
    x = 308,715,314.74/24,116.67
  6. Step 6: Final answer
    x = 12,800.91

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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.