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Finding the Fourth Proportional to 24,973.68, 34,462.15 and 13,640.88

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Solution

The fourth proportional to 24,973.68, 34,462.15 and 13,640.88 is: 18,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.68 : 34,462.15 = 13,640.88 : x
  2. Step 2: Convert to fraction form
    24,973.68/34,462.15 = 13,640.88/x
  3. Step 3: Cross multiply
    24,973.68x = 34,462.15 × 13,640.88
  4. Step 4: Simplify right side
    24,973.68x = 470,094,052.69
  5. Step 5: Solve for x
    x = 470,094,052.69/24,973.68
  6. Step 6: Final answer
    x = 18,823.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.