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Finding the Fourth Proportional to 23,007.04, 34,502.04 and 8,212

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Solution

The fourth proportional to 23,007.04, 34,502.04 and 8,212 is: 12,314.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.04 : 34,502.04 = 8,212 : x
  2. Step 2: Convert to fraction form
    23,007.04/34,502.04 = 8,212/x
  3. Step 3: Cross multiply
    23,007.04x = 34,502.04 × 8,212
  4. Step 4: Simplify right side
    23,007.04x = 283,330,752.48
  5. Step 5: Solve for x
    x = 283,330,752.48/23,007.04
  6. Step 6: Final answer
    x = 12,314.96

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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.