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Finding the Fourth Proportional to 21,167.40, 31,738.95 and 6,374.10

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Solution

The fourth proportional to 21,167.40, 31,738.95 and 6,374.10 is: 9,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.40 : 31,738.95 = 6,374.10 : x
  2. Step 2: Convert to fraction form
    21,167.40/31,738.95 = 6,374.10/x
  3. Step 3: Cross multiply
    21,167.40x = 31,738.95 × 6,374.10
  4. Step 4: Simplify right side
    21,167.40x = 202,307,241.20
  5. Step 5: Solve for x
    x = 202,307,241.20/21,167.40
  6. Step 6: Final answer
    x = 9,557.49

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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.