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Finding the Fourth Proportional to 14,801.16, 20,427.56 and 9,424.14

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Solution

The fourth proportional to 14,801.16, 20,427.56 and 9,424.14 is: 13,006.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,801.16 : 20,427.56 = 9,424.14 : x
  2. Step 2: Convert to fraction form
    14,801.16/20,427.56 = 9,424.14/x
  3. Step 3: Cross multiply
    14,801.16x = 20,427.56 × 9,424.14
  4. Step 4: Simplify right side
    14,801.16x = 192,512,185.30
  5. Step 5: Solve for x
    x = 192,512,185.30/14,801.16
  6. Step 6: Final answer
    x = 13,006.56

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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.