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Finding the Fourth Proportional to 11,967.23, 16,514.82 and 6,931.70

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Solution

The fourth proportional to 11,967.23, 16,514.82 and 6,931.70 is: 9,565.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.23 : 16,514.82 = 6,931.70 : x
  2. Step 2: Convert to fraction form
    11,967.23/16,514.82 = 6,931.70/x
  3. Step 3: Cross multiply
    11,967.23x = 16,514.82 × 6,931.70
  4. Step 4: Simplify right side
    11,967.23x = 114,475,777.79
  5. Step 5: Solve for x
    x = 114,475,777.79/11,967.23
  6. Step 6: Final answer
    x = 9,565.77

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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.