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Finding the Fourth Proportional to 24,839.56, 34,278.83 and 13,509.17

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Solution

The fourth proportional to 24,839.56, 34,278.83 and 13,509.17 is: 18,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,839.56 : 34,278.83 = 13,509.17 : x
  2. Step 2: Convert to fraction form
    24,839.56/34,278.83 = 13,509.17/x
  3. Step 3: Cross multiply
    24,839.56x = 34,278.83 × 13,509.17
  4. Step 4: Simplify right side
    24,839.56x = 463,078,302.93
  5. Step 5: Solve for x
    x = 463,078,302.93/24,839.56
  6. Step 6: Final answer
    x = 18,642.77

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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.