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Finding the Fourth Proportional to 23,429.90, 32,332.83 and 12,819.29

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Solution

The fourth proportional to 23,429.90, 32,332.83 and 12,819.29 is: 17,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,429.90 : 32,332.83 = 12,819.29 : x
  2. Step 2: Convert to fraction form
    23,429.90/32,332.83 = 12,819.29/x
  3. Step 3: Cross multiply
    23,429.90x = 32,332.83 × 12,819.29
  4. Step 4: Simplify right side
    23,429.90x = 414,483,924.29
  5. Step 5: Solve for x
    x = 414,483,924.29/23,429.90
  6. Step 6: Final answer
    x = 17,690.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.