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Finding the Fourth Proportional to 21,497.58, 32,258.82 and 9,016.49

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Solution

The fourth proportional to 21,497.58, 32,258.82 and 9,016.49 is: 13,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.58 : 32,258.82 = 9,016.49 : x
  2. Step 2: Convert to fraction form
    21,497.58/32,258.82 = 9,016.49/x
  3. Step 3: Cross multiply
    21,497.58x = 32,258.82 × 9,016.49
  4. Step 4: Simplify right side
    21,497.58x = 290,861,442.40
  5. Step 5: Solve for x
    x = 290,861,442.40/21,497.58
  6. Step 6: Final answer
    x = 13,529.96

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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.