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Finding the Fourth Proportional to 24,254.29, 33,470.79 and 13,644

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Solution

The fourth proportional to 24,254.29, 33,470.79 and 13,644 is: 18,828.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.29 : 33,470.79 = 13,644 : x
  2. Step 2: Convert to fraction form
    24,254.29/33,470.79 = 13,644/x
  3. Step 3: Cross multiply
    24,254.29x = 33,470.79 × 13,644
  4. Step 4: Simplify right side
    24,254.29x = 456,675,458.76
  5. Step 5: Solve for x
    x = 456,675,458.76/24,254.29
  6. Step 6: Final answer
    x = 18,828.65

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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.