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Finding the Fourth Proportional to 24,885.84, 34,342.47 and 13,707.84

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Solution

The fourth proportional to 24,885.84, 34,342.47 and 13,707.84 is: 18,916.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,885.84 : 34,342.47 = 13,707.84 : x
  2. Step 2: Convert to fraction form
    24,885.84/34,342.47 = 13,707.84/x
  3. Step 3: Cross multiply
    24,885.84x = 34,342.47 × 13,707.84
  4. Step 4: Simplify right side
    24,885.84x = 470,761,161.34
  5. Step 5: Solve for x
    x = 470,761,161.34/24,885.84
  6. Step 6: Final answer
    x = 18,916.83

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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.