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Finding the Fourth Proportional to 15,122.78, 22,635.60 and 8,085.14

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Solution

The fourth proportional to 15,122.78, 22,635.60 and 8,085.14 is: 12,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.78 : 22,635.60 = 8,085.14 : x
  2. Step 2: Convert to fraction form
    15,122.78/22,635.60 = 8,085.14/x
  3. Step 3: Cross multiply
    15,122.78x = 22,635.60 × 8,085.14
  4. Step 4: Simplify right side
    15,122.78x = 183,011,994.98
  5. Step 5: Solve for x
    x = 183,011,994.98/15,122.78
  6. Step 6: Final answer
    x = 12,101.74

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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.