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Finding the Fourth Proportional to 24,802.80, 34,227.27 and 14,191.76

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Solution

The fourth proportional to 24,802.80, 34,227.27 and 14,191.76 is: 19,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.80 : 34,227.27 = 14,191.76 : x
  2. Step 2: Convert to fraction form
    24,802.80/34,227.27 = 14,191.76/x
  3. Step 3: Cross multiply
    24,802.80x = 34,227.27 × 14,191.76
  4. Step 4: Simplify right side
    24,802.80x = 485,745,030.16
  5. Step 5: Solve for x
    x = 485,745,030.16/24,802.80
  6. Step 6: Final answer
    x = 19,584.28

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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.