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Finding the Fourth Proportional to 21,814.84, 32,672.44 and 13,031.74

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Solution

The fourth proportional to 21,814.84, 32,672.44 and 13,031.74 is: 19,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,814.84 : 32,672.44 = 13,031.74 : x
  2. Step 2: Convert to fraction form
    21,814.84/32,672.44 = 13,031.74/x
  3. Step 3: Cross multiply
    21,814.84x = 32,672.44 × 13,031.74
  4. Step 4: Simplify right side
    21,814.84x = 425,778,743.25
  5. Step 5: Solve for x
    x = 425,778,743.25/21,814.84
  6. Step 6: Final answer
    x = 19,517.85

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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.