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Finding the Fourth Proportional to 24,253.66, 33,470.32 and 13,643.20

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Solution

The fourth proportional to 24,253.66, 33,470.32 and 13,643.20 is: 18,827.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,253.66 : 33,470.32 = 13,643.20 : x
  2. Step 2: Convert to fraction form
    24,253.66/33,470.32 = 13,643.20/x
  3. Step 3: Cross multiply
    24,253.66x = 33,470.32 × 13,643.20
  4. Step 4: Simplify right side
    24,253.66x = 456,642,269.82
  5. Step 5: Solve for x
    x = 456,642,269.82/24,253.66
  6. Step 6: Final answer
    x = 18,827.77

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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.