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Finding the Fourth Proportional to 23,050.24, 34,554.88 and 8,448

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Solution

The fourth proportional to 23,050.24, 34,554.88 and 8,448 is: 12,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050.24 : 34,554.88 = 8,448 : x
  2. Step 2: Convert to fraction form
    23,050.24/34,554.88 = 8,448/x
  3. Step 3: Cross multiply
    23,050.24x = 34,554.88 × 8,448
  4. Step 4: Simplify right side
    23,050.24x = 291,919,626.24
  5. Step 5: Solve for x
    x = 291,919,626.24/23,050.24
  6. Step 6: Final answer
    x = 12,664.49

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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.