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Finding the Fourth Proportional to 16,969.98, 23,418.59 and 9,897.76

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Solution

The fourth proportional to 16,969.98, 23,418.59 and 9,897.76 is: 13,658.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,969.98 : 23,418.59 = 9,897.76 : x
  2. Step 2: Convert to fraction form
    16,969.98/23,418.59 = 9,897.76/x
  3. Step 3: Cross multiply
    16,969.98x = 23,418.59 × 9,897.76
  4. Step 4: Simplify right side
    16,969.98x = 231,791,583.36
  5. Step 5: Solve for x
    x = 231,791,583.36/16,969.98
  6. Step 6: Final answer
    x = 13,658.92

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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.