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Finding the Fourth Proportional to 12,005.96, 16,565.58 and 6,967.26

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Solution

The fourth proportional to 12,005.96, 16,565.58 and 6,967.26 is: 9,613.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,005.96 : 16,565.58 = 6,967.26 : x
  2. Step 2: Convert to fraction form
    12,005.96/16,565.58 = 6,967.26/x
  3. Step 3: Cross multiply
    12,005.96x = 16,565.58 × 6,967.26
  4. Step 4: Simplify right side
    12,005.96x = 115,416,702.91
  5. Step 5: Solve for x
    x = 115,416,702.91/12,005.96
  6. Step 6: Final answer
    x = 9,613.28

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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.