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Finding the Fourth Proportional to 15,096.60, 22,619.22 and 9,823.56

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Solution

The fourth proportional to 15,096.60, 22,619.22 and 9,823.56 is: 14,718.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,096.60 : 22,619.22 = 9,823.56 : x
  2. Step 2: Convert to fraction form
    15,096.60/22,619.22 = 9,823.56/x
  3. Step 3: Cross multiply
    15,096.60x = 22,619.22 × 9,823.56
  4. Step 4: Simplify right side
    15,096.60x = 222,201,264.82
  5. Step 5: Solve for x
    x = 222,201,264.82/15,096.60
  6. Step 6: Final answer
    x = 14,718.63

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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.