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Finding the Fourth Proportional to 23,666.38, 32,657.99 and 13,056.19

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Solution

The fourth proportional to 23,666.38, 32,657.99 and 13,056.19 is: 18,016.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,666.38 : 32,657.99 = 13,056.19 : x
  2. Step 2: Convert to fraction form
    23,666.38/32,657.99 = 13,056.19/x
  3. Step 3: Cross multiply
    23,666.38x = 32,657.99 × 13,056.19
  4. Step 4: Simplify right side
    23,666.38x = 426,388,775.53
  5. Step 5: Solve for x
    x = 426,388,775.53/23,666.38
  6. Step 6: Final answer
    x = 18,016.65

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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.