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Finding the Fourth Proportional to 24,885.38, 34,341.82 and 13,707.38

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Solution

The fourth proportional to 24,885.38, 34,341.82 and 13,707.38 is: 18,916.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,885.38 : 34,341.82 = 13,707.38 : x
  2. Step 2: Convert to fraction form
    24,885.38/34,341.82 = 13,707.38/x
  3. Step 3: Cross multiply
    24,885.38x = 34,341.82 × 13,707.38
  4. Step 4: Simplify right side
    24,885.38x = 470,736,376.63
  5. Step 5: Solve for x
    x = 470,736,376.63/24,885.38
  6. Step 6: Final answer
    x = 18,916.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.