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Finding the Fourth Proportional to 16,462.29, 24,664.70 and 13,706.69

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Solution

The fourth proportional to 16,462.29, 24,664.70 and 13,706.69 is: 20,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.29 : 24,664.70 = 13,706.69 : x
  2. Step 2: Convert to fraction form
    16,462.29/24,664.70 = 13,706.69/x
  3. Step 3: Cross multiply
    16,462.29x = 24,664.70 × 13,706.69
  4. Step 4: Simplify right side
    16,462.29x = 338,071,328.31
  5. Step 5: Solve for x
    x = 338,071,328.31/16,462.29
  6. Step 6: Final answer
    x = 20,536.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.