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Finding the Fourth Proportional to 24,972.80, 34,462.14 and 13,643.34

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Solution

The fourth proportional to 24,972.80, 34,462.14 and 13,643.34 is: 18,827.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,972.80 : 34,462.14 = 13,643.34 : x
  2. Step 2: Convert to fraction form
    24,972.80/34,462.14 = 13,643.34/x
  3. Step 3: Cross multiply
    24,972.80x = 34,462.14 × 13,643.34
  4. Step 4: Simplify right side
    24,972.80x = 470,178,693.15
  5. Step 5: Solve for x
    x = 470,178,693.15/24,972.80
  6. Step 6: Final answer
    x = 18,827.63

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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.