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Finding the Fourth Proportional to 12,773.10, 19,159.65 and 7,524.30

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Solution

The fourth proportional to 12,773.10, 19,159.65 and 7,524.30 is: 11,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,773.10 : 19,159.65 = 7,524.30 : x
  2. Step 2: Convert to fraction form
    12,773.10/19,159.65 = 7,524.30/x
  3. Step 3: Cross multiply
    12,773.10x = 19,159.65 × 7,524.30
  4. Step 4: Simplify right side
    12,773.10x = 144,162,954.50
  5. Step 5: Solve for x
    x = 144,162,954.50/12,773.10
  6. Step 6: Final answer
    x = 11,286.45

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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.