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Finding the Fourth Proportional to 17,767.50, 24,513.02 and 11,393.59

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Solution

The fourth proportional to 17,767.50, 24,513.02 and 11,393.59 is: 15,719.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.50 : 24,513.02 = 11,393.59 : x
  2. Step 2: Convert to fraction form
    17,767.50/24,513.02 = 11,393.59/x
  3. Step 3: Cross multiply
    17,767.50x = 24,513.02 × 11,393.59
  4. Step 4: Simplify right side
    17,767.50x = 279,291,257.11
  5. Step 5: Solve for x
    x = 279,291,257.11/17,767.50
  6. Step 6: Final answer
    x = 15,719.22

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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.