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Finding the Fourth Proportional to 24,462.96, 33,758.64 and 13,850.16

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Solution

The fourth proportional to 24,462.96, 33,758.64 and 13,850.16 is: 19,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.96 : 33,758.64 = 13,850.16 : x
  2. Step 2: Convert to fraction form
    24,462.96/33,758.64 = 13,850.16/x
  3. Step 3: Cross multiply
    24,462.96x = 33,758.64 × 13,850.16
  4. Step 4: Simplify right side
    24,462.96x = 467,562,565.38
  5. Step 5: Solve for x
    x = 467,562,565.38/24,462.96
  6. Step 6: Final answer
    x = 19,113.08

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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.