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Finding the Fourth Proportional to 15,138.70, 22,707.78 and 6,812.82

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Solution

The fourth proportional to 15,138.70, 22,707.78 and 6,812.82 is: 10,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.70 : 22,707.78 = 6,812.82 : x
  2. Step 2: Convert to fraction form
    15,138.70/22,707.78 = 6,812.82/x
  3. Step 3: Cross multiply
    15,138.70x = 22,707.78 × 6,812.82
  4. Step 4: Simplify right side
    15,138.70x = 154,704,017.74
  5. Step 5: Solve for x
    x = 154,704,017.74/15,138.70
  6. Step 6: Final answer
    x = 10,219.11

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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.