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Finding the Fourth Proportional to 22,767.14, 34,150.64 and 7,184.76

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Solution

The fourth proportional to 22,767.14, 34,150.64 and 7,184.76 is: 10,777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,767.14 : 34,150.64 = 7,184.76 : x
  2. Step 2: Convert to fraction form
    22,767.14/34,150.64 = 7,184.76/x
  3. Step 3: Cross multiply
    22,767.14x = 34,150.64 × 7,184.76
  4. Step 4: Simplify right side
    22,767.14x = 245,364,152.25
  5. Step 5: Solve for x
    x = 245,364,152.25/22,767.14
  6. Step 6: Final answer
    x = 10,777.12

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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.