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Finding the Fourth Proportional to 14,800.30, 22,189.52 and 7,000

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Solution

The fourth proportional to 14,800.30, 22,189.52 and 7,000 is: 10,494.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,800.30 : 22,189.52 = 7,000 : x
  2. Step 2: Convert to fraction form
    14,800.30/22,189.52 = 7,000/x
  3. Step 3: Cross multiply
    14,800.30x = 22,189.52 × 7,000
  4. Step 4: Simplify right side
    14,800.30x = 155,326,640
  5. Step 5: Solve for x
    x = 155,326,640/14,800.30
  6. Step 6: Final answer
    x = 10,494.83

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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.