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Finding the Fourth Proportional to 15,023.92, 22,539.72 and 6,814

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Solution

The fourth proportional to 15,023.92, 22,539.72 and 6,814 is: 10,222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,023.92 : 22,539.72 = 6,814 : x
  2. Step 2: Convert to fraction form
    15,023.92/22,539.72 = 6,814/x
  3. Step 3: Cross multiply
    15,023.92x = 22,539.72 × 6,814
  4. Step 4: Simplify right side
    15,023.92x = 153,585,652.08
  5. Step 5: Solve for x
    x = 153,585,652.08/15,023.92
  6. Step 6: Final answer
    x = 10,222.74

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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.