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Finding the Fourth Proportional to 15,214, 22,823.88 and 7,006

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Solution

The fourth proportional to 15,214, 22,823.88 and 7,006 is: 10,510.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,214 : 22,823.88 = 7,006 : x
  2. Step 2: Convert to fraction form
    15,214/22,823.88 = 7,006/x
  3. Step 3: Cross multiply
    15,214x = 22,823.88 × 7,006
  4. Step 4: Simplify right side
    15,214x = 159,904,103.28
  5. Step 5: Solve for x
    x = 159,904,103.28/15,214
  6. Step 6: Final answer
    x = 10,510.33

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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.