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Finding the Fourth Proportional to 22,673.40, 34,005.18 and 7,089

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Solution

The fourth proportional to 22,673.40, 34,005.18 and 7,089 is: 10,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,673.40 : 34,005.18 = 7,089 : x
  2. Step 2: Convert to fraction form
    22,673.40/34,005.18 = 7,089/x
  3. Step 3: Cross multiply
    22,673.40x = 34,005.18 × 7,089
  4. Step 4: Simplify right side
    22,673.40x = 241,062,721.02
  5. Step 5: Solve for x
    x = 241,062,721.02/22,673.40
  6. Step 6: Final answer
    x = 10,631.96

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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.