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Finding the Fourth Proportional to 21,386.84, 32,085.72 and 8,902.71

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Solution

The fourth proportional to 21,386.84, 32,085.72 and 8,902.71 is: 13,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386.84 : 32,085.72 = 8,902.71 : x
  2. Step 2: Convert to fraction form
    21,386.84/32,085.72 = 8,902.71/x
  3. Step 3: Cross multiply
    21,386.84x = 32,085.72 × 8,902.71
  4. Step 4: Simplify right side
    21,386.84x = 285,649,860.30
  5. Step 5: Solve for x
    x = 285,649,860.30/21,386.84
  6. Step 6: Final answer
    x = 13,356.34

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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.