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Finding the Fourth Proportional to 24,856.34, 34,301.81 and 13,525.83

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Solution

The fourth proportional to 24,856.34, 34,301.81 and 13,525.83 is: 18,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,856.34 : 34,301.81 = 13,525.83 : x
  2. Step 2: Convert to fraction form
    24,856.34/34,301.81 = 13,525.83/x
  3. Step 3: Cross multiply
    24,856.34x = 34,301.81 × 13,525.83
  4. Step 4: Simplify right side
    24,856.34x = 463,960,450.75
  5. Step 5: Solve for x
    x = 463,960,450.75/24,856.34
  6. Step 6: Final answer
    x = 18,665.68

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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.