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Finding the Fourth Proportional to 16,237.14, 22,408.02 and 9,868.14

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Solution

The fourth proportional to 16,237.14, 22,408.02 and 9,868.14 is: 13,618.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,237.14 : 22,408.02 = 9,868.14 : x
  2. Step 2: Convert to fraction form
    16,237.14/22,408.02 = 9,868.14/x
  3. Step 3: Cross multiply
    16,237.14x = 22,408.02 × 9,868.14
  4. Step 4: Simplify right side
    16,237.14x = 221,125,478.48
  5. Step 5: Solve for x
    x = 221,125,478.48/16,237.14
  6. Step 6: Final answer
    x = 13,618.50

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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.