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Finding the Fourth Proportional to 21,752.60, 32,630.14 and 6,169

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Solution

The fourth proportional to 21,752.60, 32,630.14 and 6,169 is: 9,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,752.60 : 32,630.14 = 6,169 : x
  2. Step 2: Convert to fraction form
    21,752.60/32,630.14 = 6,169/x
  3. Step 3: Cross multiply
    21,752.60x = 32,630.14 × 6,169
  4. Step 4: Simplify right side
    21,752.60x = 201,295,333.66
  5. Step 5: Solve for x
    x = 201,295,333.66/21,752.60
  6. Step 6: Final answer
    x = 9,253.85

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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.