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Finding the Fourth Proportional to 15,770.60, 23,645.10 and 7,454.60

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Solution

The fourth proportional to 15,770.60, 23,645.10 and 7,454.60 is: 11,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.60 : 23,645.10 = 7,454.60 : x
  2. Step 2: Convert to fraction form
    15,770.60/23,645.10 = 7,454.60/x
  3. Step 3: Cross multiply
    15,770.60x = 23,645.10 × 7,454.60
  4. Step 4: Simplify right side
    15,770.60x = 176,264,762.46
  5. Step 5: Solve for x
    x = 176,264,762.46/15,770.60
  6. Step 6: Final answer
    x = 11,176.79

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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.