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Finding the Fourth Proportional to 21,497.77, 32,259.11 and 9,016.68

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Solution

The fourth proportional to 21,497.77, 32,259.11 and 9,016.68 is: 13,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497.77 : 32,259.11 = 9,016.68 : x
  2. Step 2: Convert to fraction form
    21,497.77/32,259.11 = 9,016.68/x
  3. Step 3: Cross multiply
    21,497.77x = 32,259.11 × 9,016.68
  4. Step 4: Simplify right side
    21,497.77x = 290,870,026.87
  5. Step 5: Solve for x
    x = 290,870,026.87/21,497.77
  6. Step 6: Final answer
    x = 13,530.24

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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.