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Finding the Fourth Proportional to 12,595.36, 18,876.64 and 7,849.57

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Solution

The fourth proportional to 12,595.36, 18,876.64 and 7,849.57 is: 11,764.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.36 : 18,876.64 = 7,849.57 : x
  2. Step 2: Convert to fraction form
    12,595.36/18,876.64 = 7,849.57/x
  3. Step 3: Cross multiply
    12,595.36x = 18,876.64 × 7,849.57
  4. Step 4: Simplify right side
    12,595.36x = 148,173,507.04
  5. Step 5: Solve for x
    x = 148,173,507.04/12,595.36
  6. Step 6: Final answer
    x = 11,764.13

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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.