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Finding the Fourth Proportional to 24,637.48, 36,975.84 and 12,794.68

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Solution

The fourth proportional to 24,637.48, 36,975.84 and 12,794.68 is: 19,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,637.48 : 36,975.84 = 12,794.68 : x
  2. Step 2: Convert to fraction form
    24,637.48/36,975.84 = 12,794.68/x
  3. Step 3: Cross multiply
    24,637.48x = 36,975.84 × 12,794.68
  4. Step 4: Simplify right side
    24,637.48x = 473,094,040.53
  5. Step 5: Solve for x
    x = 473,094,040.53/24,637.48
  6. Step 6: Final answer
    x = 19,202.21

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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.