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Finding the Fourth Proportional to 22,713.14, 34,075.18 and 7,130.76

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Solution

The fourth proportional to 22,713.14, 34,075.18 and 7,130.76 is: 10,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.14 : 34,075.18 = 7,130.76 : x
  2. Step 2: Convert to fraction form
    22,713.14/34,075.18 = 7,130.76/x
  3. Step 3: Cross multiply
    22,713.14x = 34,075.18 × 7,130.76
  4. Step 4: Simplify right side
    22,713.14x = 242,981,930.54
  5. Step 5: Solve for x
    x = 242,981,930.54/22,713.14
  6. Step 6: Final answer
    x = 10,697.86

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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.