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Finding the Fourth Proportional to 13,883.78, 19,139.69 and 9,897.97

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Solution

The fourth proportional to 13,883.78, 19,139.69 and 9,897.97 is: 13,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.78 : 19,139.69 = 9,897.97 : x
  2. Step 2: Convert to fraction form
    13,883.78/19,139.69 = 9,897.97/x
  3. Step 3: Cross multiply
    13,883.78x = 19,139.69 × 9,897.97
  4. Step 4: Simplify right side
    13,883.78x = 189,444,143.12
  5. Step 5: Solve for x
    x = 189,444,143.12/13,883.78
  6. Step 6: Final answer
    x = 13,645.00

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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.