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Finding the Fourth Proportional to 24,254.28, 33,471 and 13,643.70

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Solution

The fourth proportional to 24,254.28, 33,471 and 13,643.70 is: 18,828.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,254.28 : 33,471 = 13,643.70 : x
  2. Step 2: Convert to fraction form
    24,254.28/33,471 = 13,643.70/x
  3. Step 3: Cross multiply
    24,254.28x = 33,471 × 13,643.70
  4. Step 4: Simplify right side
    24,254.28x = 456,668,282.70
  5. Step 5: Solve for x
    x = 456,668,282.70/24,254.28
  6. Step 6: Final answer
    x = 18,828.36

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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.