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Finding the Fourth Proportional to 12,444.74, 18,661.02 and 5,430.68

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Solution

The fourth proportional to 12,444.74, 18,661.02 and 5,430.68 is: 8,143.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.74 : 18,661.02 = 5,430.68 : x
  2. Step 2: Convert to fraction form
    12,444.74/18,661.02 = 5,430.68/x
  3. Step 3: Cross multiply
    12,444.74x = 18,661.02 × 5,430.68
  4. Step 4: Simplify right side
    12,444.74x = 101,341,934.79
  5. Step 5: Solve for x
    x = 101,341,934.79/12,444.74
  6. Step 6: Final answer
    x = 8,143.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.