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Finding the Fourth Proportional to 22,911.76, 34,368.93 and 7,119.04

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Solution

The fourth proportional to 22,911.76, 34,368.93 and 7,119.04 is: 10,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,911.76 : 34,368.93 = 7,119.04 : x
  2. Step 2: Convert to fraction form
    22,911.76/34,368.93 = 7,119.04/x
  3. Step 3: Cross multiply
    22,911.76x = 34,368.93 × 7,119.04
  4. Step 4: Simplify right side
    22,911.76x = 244,673,787.43
  5. Step 5: Solve for x
    x = 244,673,787.43/22,911.76
  6. Step 6: Final answer
    x = 10,678.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.