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Finding the Fourth Proportional to 12,009.68, 18,023.76 and 7,848.56

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Solution

The fourth proportional to 12,009.68, 18,023.76 and 7,848.56 is: 11,778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,009.68 : 18,023.76 = 7,848.56 : x
  2. Step 2: Convert to fraction form
    12,009.68/18,023.76 = 7,848.56/x
  3. Step 3: Cross multiply
    12,009.68x = 18,023.76 × 7,848.56
  4. Step 4: Simplify right side
    12,009.68x = 141,460,561.79
  5. Step 5: Solve for x
    x = 141,460,561.79/12,009.68
  6. Step 6: Final answer
    x = 11,778.88

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1.5x scale

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.