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Finding the Fourth Proportional to 21,253.40, 31,881.25 and 6,461.20

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Solution

The fourth proportional to 21,253.40, 31,881.25 and 6,461.20 is: 9,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.40 : 31,881.25 = 6,461.20 : x
  2. Step 2: Convert to fraction form
    21,253.40/31,881.25 = 6,461.20/x
  3. Step 3: Cross multiply
    21,253.40x = 31,881.25 × 6,461.20
  4. Step 4: Simplify right side
    21,253.40x = 205,991,144.08
  5. Step 5: Solve for x
    x = 205,991,144.08/21,253.40
  6. Step 6: Final answer
    x = 9,692.15

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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.