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Finding the Fourth Proportional to 21,332.82, 32,004.28 and 9,646.02

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Solution

The fourth proportional to 21,332.82, 32,004.28 and 9,646.02 is: 14,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.82 : 32,004.28 = 9,646.02 : x
  2. Step 2: Convert to fraction form
    21,332.82/32,004.28 = 9,646.02/x
  3. Step 3: Cross multiply
    21,332.82x = 32,004.28 × 9,646.02
  4. Step 4: Simplify right side
    21,332.82x = 308,713,924.97
  5. Step 5: Solve for x
    x = 308,713,924.97/21,332.82
  6. Step 6: Final answer
    x = 14,471.31

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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.