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Finding the Fourth Proportional to 12,659.15, 18,971.54 and 7,023.53

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Solution

The fourth proportional to 12,659.15, 18,971.54 and 7,023.53 is: 10,525.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,659.15 : 18,971.54 = 7,023.53 : x
  2. Step 2: Convert to fraction form
    12,659.15/18,971.54 = 7,023.53/x
  3. Step 3: Cross multiply
    12,659.15x = 18,971.54 × 7,023.53
  4. Step 4: Simplify right side
    12,659.15x = 133,247,050.36
  5. Step 5: Solve for x
    x = 133,247,050.36/12,659.15
  6. Step 6: Final answer
    x = 10,525.75

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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.