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Finding the Fourth Proportional to 17,533.88, 24,193.54 and 9,979.76

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Solution

The fourth proportional to 17,533.88, 24,193.54 and 9,979.76 is: 13,770.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.88 : 24,193.54 = 9,979.76 : x
  2. Step 2: Convert to fraction form
    17,533.88/24,193.54 = 9,979.76/x
  3. Step 3: Cross multiply
    17,533.88x = 24,193.54 × 9,979.76
  4. Step 4: Simplify right side
    17,533.88x = 241,445,758.28
  5. Step 5: Solve for x
    x = 241,445,758.28/17,533.88
  6. Step 6: Final answer
    x = 13,770.25

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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.