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Finding the Fourth Proportional to 23,565.88, 32,519.34 and 12,955

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Solution

The fourth proportional to 23,565.88, 32,519.34 and 12,955 is: 17,877.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,565.88 : 32,519.34 = 12,955 : x
  2. Step 2: Convert to fraction form
    23,565.88/32,519.34 = 12,955/x
  3. Step 3: Cross multiply
    23,565.88x = 32,519.34 × 12,955
  4. Step 4: Simplify right side
    23,565.88x = 421,288,049.70
  5. Step 5: Solve for x
    x = 421,288,049.70/23,565.88
  6. Step 6: Final answer
    x = 17,877.03

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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.