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Finding the Fourth Proportional to 23,653.38, 32,641.47 and 13,042.65

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Solution

The fourth proportional to 23,653.38, 32,641.47 and 13,042.65 is: 17,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.38 : 32,641.47 = 13,042.65 : x
  2. Step 2: Convert to fraction form
    23,653.38/32,641.47 = 13,042.65/x
  3. Step 3: Cross multiply
    23,653.38x = 32,641.47 × 13,042.65
  4. Step 4: Simplify right side
    23,653.38x = 425,731,268.70
  5. Step 5: Solve for x
    x = 425,731,268.70/23,653.38
  6. Step 6: Final answer
    x = 17,998.75

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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.