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Finding the Fourth Proportional to 12,567.91, 17,332.14 and 8,540.77

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Solution

The fourth proportional to 12,567.91, 17,332.14 and 8,540.77 is: 11,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567.91 : 17,332.14 = 8,540.77 : x
  2. Step 2: Convert to fraction form
    12,567.91/17,332.14 = 8,540.77/x
  3. Step 3: Cross multiply
    12,567.91x = 17,332.14 × 8,540.77
  4. Step 4: Simplify right side
    12,567.91x = 148,029,821.35
  5. Step 5: Solve for x
    x = 148,029,821.35/12,567.91
  6. Step 6: Final answer
    x = 11,778.40

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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.