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Finding the Fourth Proportional to 21,676.71, 32,514.57 and 9,989.93

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Solution

The fourth proportional to 21,676.71, 32,514.57 and 9,989.93 is: 14,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,676.71 : 32,514.57 = 9,989.93 : x
  2. Step 2: Convert to fraction form
    21,676.71/32,514.57 = 9,989.93/x
  3. Step 3: Cross multiply
    21,676.71x = 32,514.57 × 9,989.93
  4. Step 4: Simplify right side
    21,676.71x = 324,818,115.71
  5. Step 5: Solve for x
    x = 324,818,115.71/21,676.71
  6. Step 6: Final answer
    x = 14,984.66

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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.