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Finding the Fourth Proportional to 23,310.72, 32,152.80 and 13,872

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Solution

The fourth proportional to 23,310.72, 32,152.80 and 13,872 is: 19,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310.72 : 32,152.80 = 13,872 : x
  2. Step 2: Convert to fraction form
    23,310.72/32,152.80 = 13,872/x
  3. Step 3: Cross multiply
    23,310.72x = 32,152.80 × 13,872
  4. Step 4: Simplify right side
    23,310.72x = 446,023,641.60
  5. Step 5: Solve for x
    x = 446,023,641.60/23,310.72
  6. Step 6: Final answer
    x = 19,133.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.