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Finding the Fourth Proportional to 24,073.84, 36,117.02 and 9,277.87

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Solution

The fourth proportional to 24,073.84, 36,117.02 and 9,277.87 is: 13,919.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.84 : 36,117.02 = 9,277.87 : x
  2. Step 2: Convert to fraction form
    24,073.84/36,117.02 = 9,277.87/x
  3. Step 3: Cross multiply
    24,073.84x = 36,117.02 × 9,277.87
  4. Step 4: Simplify right side
    24,073.84x = 335,089,016.35
  5. Step 5: Solve for x
    x = 335,089,016.35/24,073.84
  6. Step 6: Final answer
    x = 13,919.22

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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.