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Finding the Fourth Proportional to 16,223.41, 22,389.87 and 9,848.53

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Solution

The fourth proportional to 16,223.41, 22,389.87 and 9,848.53 is: 13,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.41 : 22,389.87 = 9,848.53 : x
  2. Step 2: Convert to fraction form
    16,223.41/22,389.87 = 9,848.53/x
  3. Step 3: Cross multiply
    16,223.41x = 22,389.87 × 9,848.53
  4. Step 4: Simplify right side
    16,223.41x = 220,507,306.39
  5. Step 5: Solve for x
    x = 220,507,306.39/16,223.41
  6. Step 6: Final answer
    x = 13,591.92

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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.