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Finding the Fourth Proportional to 24,163.84, 36,203.80 and 13,078.16

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Solution

The fourth proportional to 24,163.84, 36,203.80 and 13,078.16 is: 19,594.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,163.84 : 36,203.80 = 13,078.16 : x
  2. Step 2: Convert to fraction form
    24,163.84/36,203.80 = 13,078.16/x
  3. Step 3: Cross multiply
    24,163.84x = 36,203.80 × 13,078.16
  4. Step 4: Simplify right side
    24,163.84x = 473,479,089.01
  5. Step 5: Solve for x
    x = 473,479,089.01/24,163.84
  6. Step 6: Final answer
    x = 19,594.53

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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.