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Finding the Fourth Proportional to 24,617.61, 33,972.47 and 14,007.24

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Solution

The fourth proportional to 24,617.61, 33,972.47 and 14,007.24 is: 19,330.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.61 : 33,972.47 = 14,007.24 : x
  2. Step 2: Convert to fraction form
    24,617.61/33,972.47 = 14,007.24/x
  3. Step 3: Cross multiply
    24,617.61x = 33,972.47 × 14,007.24
  4. Step 4: Simplify right side
    24,617.61x = 475,860,470.65
  5. Step 5: Solve for x
    x = 475,860,470.65/24,617.61
  6. Step 6: Final answer
    x = 19,330.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.