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Finding the Fourth Proportional to 12,971.80, 19,425.30 and 8,565.40

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Solution

The fourth proportional to 12,971.80, 19,425.30 and 8,565.40 is: 12,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.80 : 19,425.30 = 8,565.40 : x
  2. Step 2: Convert to fraction form
    12,971.80/19,425.30 = 8,565.40/x
  3. Step 3: Cross multiply
    12,971.80x = 19,425.30 × 8,565.40
  4. Step 4: Simplify right side
    12,971.80x = 166,385,464.62
  5. Step 5: Solve for x
    x = 166,385,464.62/12,971.80
  6. Step 6: Final answer
    x = 12,826.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.