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Finding the Fourth Proportional to 23,653.38, 32,641.56 and 13,043.19

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Solution

The fourth proportional to 23,653.38, 32,641.56 and 13,043.19 is: 17,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653.38 : 32,641.56 = 13,043.19 : x
  2. Step 2: Convert to fraction form
    23,653.38/32,641.56 = 13,043.19/x
  3. Step 3: Cross multiply
    23,653.38x = 32,641.56 × 13,043.19
  4. Step 4: Simplify right side
    23,653.38x = 425,750,068.98
  5. Step 5: Solve for x
    x = 425,750,068.98/23,653.38
  6. Step 6: Final answer
    x = 17,999.54

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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.