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Finding the Fourth Proportional to 23,699.60, 35,550 and 8,117.12

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Solution

The fourth proportional to 23,699.60, 35,550 and 8,117.12 is: 12,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,699.60 : 35,550 = 8,117.12 : x
  2. Step 2: Convert to fraction form
    23,699.60/35,550 = 8,117.12/x
  3. Step 3: Cross multiply
    23,699.60x = 35,550 × 8,117.12
  4. Step 4: Simplify right side
    23,699.60x = 288,563,616
  5. Step 5: Solve for x
    x = 288,563,616/23,699.60
  6. Step 6: Final answer
    x = 12,175.89

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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.