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Finding the Fourth Proportional to 12,509.15, 18,749.15 and 7,304.09

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Solution

The fourth proportional to 12,509.15, 18,749.15 and 7,304.09 is: 10,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.15 : 18,749.15 = 7,304.09 : x
  2. Step 2: Convert to fraction form
    12,509.15/18,749.15 = 7,304.09/x
  3. Step 3: Cross multiply
    12,509.15x = 18,749.15 × 7,304.09
  4. Step 4: Simplify right side
    12,509.15x = 136,945,442.50
  5. Step 5: Solve for x
    x = 136,945,442.50/12,509.15
  6. Step 6: Final answer
    x = 10,947.62

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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.