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Finding the Fourth Proportional to 21,347.10, 32,017.64 and 13,425.46

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Solution

The fourth proportional to 21,347.10, 32,017.64 and 13,425.46 is: 20,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.10 : 32,017.64 = 13,425.46 : x
  2. Step 2: Convert to fraction form
    21,347.10/32,017.64 = 13,425.46/x
  3. Step 3: Cross multiply
    21,347.10x = 32,017.64 × 13,425.46
  4. Step 4: Simplify right side
    21,347.10x = 429,851,397.94
  5. Step 5: Solve for x
    x = 429,851,397.94/21,347.10
  6. Step 6: Final answer
    x = 20,136.29

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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.