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Finding the Fourth Proportional to 23,041.92, 34,547.76 and 8,243.28

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Solution

The fourth proportional to 23,041.92, 34,547.76 and 8,243.28 is: 12,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,041.92 : 34,547.76 = 8,243.28 : x
  2. Step 2: Convert to fraction form
    23,041.92/34,547.76 = 8,243.28/x
  3. Step 3: Cross multiply
    23,041.92x = 34,547.76 × 8,243.28
  4. Step 4: Simplify right side
    23,041.92x = 284,786,859.05
  5. Step 5: Solve for x
    x = 284,786,859.05/23,041.92
  6. Step 6: Final answer
    x = 12,359.51

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1.5x scale

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.