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Finding the Fourth Proportional to 15,130.17, 22,680.68 and 7,738.11

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Solution

The fourth proportional to 15,130.17, 22,680.68 and 7,738.11 is: 11,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,130.17 : 22,680.68 = 7,738.11 : x
  2. Step 2: Convert to fraction form
    15,130.17/22,680.68 = 7,738.11/x
  3. Step 3: Cross multiply
    15,130.17x = 22,680.68 × 7,738.11
  4. Step 4: Simplify right side
    15,130.17x = 175,505,558.02
  5. Step 5: Solve for x
    x = 175,505,558.02/15,130.17
  6. Step 6: Final answer
    x = 11,599.71

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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.