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Finding the Fourth Proportional to 13,823.51, 20,737.41 and 4,938.23

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Solution

The fourth proportional to 13,823.51, 20,737.41 and 4,938.23 is: 7,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.51 : 20,737.41 = 4,938.23 : x
  2. Step 2: Convert to fraction form
    13,823.51/20,737.41 = 4,938.23/x
  3. Step 3: Cross multiply
    13,823.51x = 20,737.41 × 4,938.23
  4. Step 4: Simplify right side
    13,823.51x = 102,406,100.18
  5. Step 5: Solve for x
    x = 102,406,100.18/13,823.51
  6. Step 6: Final answer
    x = 7,408.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.