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Finding the Fourth Proportional to 21,066.45, 31,600.34 and 9,214.13

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Solution

The fourth proportional to 21,066.45, 31,600.34 and 9,214.13 is: 13,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066.45 : 31,600.34 = 9,214.13 : x
  2. Step 2: Convert to fraction form
    21,066.45/31,600.34 = 9,214.13/x
  3. Step 3: Cross multiply
    21,066.45x = 31,600.34 × 9,214.13
  4. Step 4: Simplify right side
    21,066.45x = 291,169,436.73
  5. Step 5: Solve for x
    x = 291,169,436.73/21,066.45
  6. Step 6: Final answer
    x = 13,821.48

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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.