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Finding the Fourth Proportional to 13,957.78, 19,266.80 and 9,243.58

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Solution

The fourth proportional to 13,957.78, 19,266.80 and 9,243.58 is: 12,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.78 : 19,266.80 = 9,243.58 : x
  2. Step 2: Convert to fraction form
    13,957.78/19,266.80 = 9,243.58/x
  3. Step 3: Cross multiply
    13,957.78x = 19,266.80 × 9,243.58
  4. Step 4: Simplify right side
    13,957.78x = 178,094,207.14
  5. Step 5: Solve for x
    x = 178,094,207.14/13,957.78
  6. Step 6: Final answer
    x = 12,759.49

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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.