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Finding the Fourth Proportional to 21,066.78, 31,606.02 and 9,218.43

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Solution

The fourth proportional to 21,066.78, 31,606.02 and 9,218.43 is: 13,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,066.78 : 31,606.02 = 9,218.43 : x
  2. Step 2: Convert to fraction form
    21,066.78/31,606.02 = 9,218.43/x
  3. Step 3: Cross multiply
    21,066.78x = 31,606.02 × 9,218.43
  4. Step 4: Simplify right side
    21,066.78x = 291,357,882.95
  5. Step 5: Solve for x
    x = 291,357,882.95/21,066.78
  6. Step 6: Final answer
    x = 13,830.20

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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.