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Finding the Fourth Proportional to 21,253.59, 31,881.53 and 6,461.39

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Solution

The fourth proportional to 21,253.59, 31,881.53 and 6,461.39 is: 9,692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,253.59 : 31,881.53 = 6,461.39 : x
  2. Step 2: Convert to fraction form
    21,253.59/31,881.53 = 6,461.39/x
  3. Step 3: Cross multiply
    21,253.59x = 31,881.53 × 6,461.39
  4. Step 4: Simplify right side
    21,253.59x = 205,998,831.64
  5. Step 5: Solve for x
    x = 205,998,831.64/21,253.59
  6. Step 6: Final answer
    x = 9,692.43

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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.