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Finding the Fourth Proportional to 21,066.28, 31,605.28 and 9,217.94

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Solution

The fourth proportional to 21,066.28, 31,605.28 and 9,217.94 is: 13,829.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066.28 : 31,605.28 = 9,217.94 : x
  2. Step 2: Convert to fraction form
    21,066.28/31,605.28 = 9,217.94/x
  3. Step 3: Cross multiply
    21,066.28x = 31,605.28 × 9,217.94
  4. Step 4: Simplify right side
    21,066.28x = 291,335,574.72
  5. Step 5: Solve for x
    x = 291,335,574.72/21,066.28
  6. Step 6: Final answer
    x = 13,829.47

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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.