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Finding the Fourth Proportional to 24,617.86, 33,972.32 and 14,007.46

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Solution

The fourth proportional to 24,617.86, 33,972.32 and 14,007.46 is: 19,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.86 : 33,972.32 = 14,007.46 : x
  2. Step 2: Convert to fraction form
    24,617.86/33,972.32 = 14,007.46/x
  3. Step 3: Cross multiply
    24,617.86x = 33,972.32 × 14,007.46
  4. Step 4: Simplify right side
    24,617.86x = 475,865,913.51
  5. Step 5: Solve for x
    x = 475,865,913.51/24,617.86
  6. Step 6: Final answer
    x = 19,330.11

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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.