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Finding the Fourth Proportional to 21,497.15, 32,258.17 and 9,016.06

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Solution

The fourth proportional to 21,497.15, 32,258.17 and 9,016.06 is: 13,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.15 : 32,258.17 = 9,016.06 : x
  2. Step 2: Convert to fraction form
    21,497.15/32,258.17 = 9,016.06/x
  3. Step 3: Cross multiply
    21,497.15x = 32,258.17 × 9,016.06
  4. Step 4: Simplify right side
    21,497.15x = 290,841,434.92
  5. Step 5: Solve for x
    x = 290,841,434.92/21,497.15
  6. Step 6: Final answer
    x = 13,529.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.