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Finding the Fourth Proportional to 23,895, 32,975.94 and 13,140.68

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Solution

The fourth proportional to 23,895, 32,975.94 and 13,140.68 is: 18,134.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,895 : 32,975.94 = 13,140.68 : x
  2. Step 2: Convert to fraction form
    23,895/32,975.94 = 13,140.68/x
  3. Step 3: Cross multiply
    23,895x = 32,975.94 × 13,140.68
  4. Step 4: Simplify right side
    23,895x = 433,326,234.25
  5. Step 5: Solve for x
    x = 433,326,234.25/23,895
  6. Step 6: Final answer
    x = 18,134.60

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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.