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Finding the Fourth Proportional to 21,401.22, 32,071.86 and 8,907.78

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Solution

The fourth proportional to 21,401.22, 32,071.86 and 8,907.78 is: 13,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,401.22 : 32,071.86 = 8,907.78 : x
  2. Step 2: Convert to fraction form
    21,401.22/32,071.86 = 8,907.78/x
  3. Step 3: Cross multiply
    21,401.22x = 32,071.86 × 8,907.78
  4. Step 4: Simplify right side
    21,401.22x = 285,689,073.07
  5. Step 5: Solve for x
    x = 285,689,073.07/21,401.22
  6. Step 6: Final answer
    x = 13,349.20

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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.