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Finding the Fourth Proportional to 23,855.60, 32,924.14 and 14,295.90

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Solution

The fourth proportional to 23,855.60, 32,924.14 and 14,295.90 is: 19,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,855.60 : 32,924.14 = 14,295.90 : x
  2. Step 2: Convert to fraction form
    23,855.60/32,924.14 = 14,295.90/x
  3. Step 3: Cross multiply
    23,855.60x = 32,924.14 × 14,295.90
  4. Step 4: Simplify right side
    23,855.60x = 470,680,213.03
  5. Step 5: Solve for x
    x = 470,680,213.03/23,855.60
  6. Step 6: Final answer
    x = 19,730.39

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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.