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Finding the Fourth Proportional to 24,230.65, 36,287.66 and 16,415.77

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Solution

The fourth proportional to 24,230.65, 36,287.66 and 16,415.77 is: 24,584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.65 : 36,287.66 = 16,415.77 : x
  2. Step 2: Convert to fraction form
    24,230.65/36,287.66 = 16,415.77/x
  3. Step 3: Cross multiply
    24,230.65x = 36,287.66 × 16,415.77
  4. Step 4: Simplify right side
    24,230.65x = 595,689,798.32
  5. Step 5: Solve for x
    x = 595,689,798.32/24,230.65
  6. Step 6: Final answer
    x = 24,584.14

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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.