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Finding the Fourth Proportional to 22,038.29, 30,412.85 and 11,966.75

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Solution

The fourth proportional to 22,038.29, 30,412.85 and 11,966.75 is: 16,514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,038.29 : 30,412.85 = 11,966.75 : x
  2. Step 2: Convert to fraction form
    22,038.29/30,412.85 = 11,966.75/x
  3. Step 3: Cross multiply
    22,038.29x = 30,412.85 × 11,966.75
  4. Step 4: Simplify right side
    22,038.29x = 363,942,972.74
  5. Step 5: Solve for x
    x = 363,942,972.74/22,038.29
  6. Step 6: Final answer
    x = 16,514.12

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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.