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Finding the Fourth Proportional to 21,386.97, 32,085.91 and 8,902.84

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Solution

The fourth proportional to 21,386.97, 32,085.91 and 8,902.84 is: 13,356.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.97 : 32,085.91 = 8,902.84 : x
  2. Step 2: Convert to fraction form
    21,386.97/32,085.91 = 8,902.84/x
  3. Step 3: Cross multiply
    21,386.97x = 32,085.91 × 8,902.84
  4. Step 4: Simplify right side
    21,386.97x = 285,655,722.98
  5. Step 5: Solve for x
    x = 285,655,722.98/21,386.97
  6. Step 6: Final answer
    x = 13,356.53

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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.