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Finding the Fourth Proportional to 14,223.31, 19,627.80 and 7,849.82

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Solution

The fourth proportional to 14,223.31, 19,627.80 and 7,849.82 is: 10,832.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,223.31 : 19,627.80 = 7,849.82 : x
  2. Step 2: Convert to fraction form
    14,223.31/19,627.80 = 7,849.82/x
  3. Step 3: Cross multiply
    14,223.31x = 19,627.80 × 7,849.82
  4. Step 4: Simplify right side
    14,223.31x = 154,074,569.42
  5. Step 5: Solve for x
    x = 154,074,569.42/14,223.31
  6. Step 6: Final answer
    x = 10,832.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.