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Finding the Fourth Proportional to 23,653, 32,641.14 and 13,717

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Solution

The fourth proportional to 23,653, 32,641.14 and 13,717 is: 18,929.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653 : 32,641.14 = 13,717 : x
  2. Step 2: Convert to fraction form
    23,653/32,641.14 = 13,717/x
  3. Step 3: Cross multiply
    23,653x = 32,641.14 × 13,717
  4. Step 4: Simplify right side
    23,653x = 447,738,517.38
  5. Step 5: Solve for x
    x = 447,738,517.38/23,653
  6. Step 6: Final answer
    x = 18,929.46

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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.