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Finding the Fourth Proportional to 12,575.60, 17,354.48 and 7,270.50

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Solution

The fourth proportional to 12,575.60, 17,354.48 and 7,270.50 is: 10,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,575.60 : 17,354.48 = 7,270.50 : x
  2. Step 2: Convert to fraction form
    12,575.60/17,354.48 = 7,270.50/x
  3. Step 3: Cross multiply
    12,575.60x = 17,354.48 × 7,270.50
  4. Step 4: Simplify right side
    12,575.60x = 126,175,746.84
  5. Step 5: Solve for x
    x = 126,175,746.84/12,575.60
  6. Step 6: Final answer
    x = 10,033.38

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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.