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Finding the Fourth Proportional to 13,937.78, 20,916.50 and 6,542.48

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Solution

The fourth proportional to 13,937.78, 20,916.50 and 6,542.48 is: 9,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.78 : 20,916.50 = 6,542.48 : x
  2. Step 2: Convert to fraction form
    13,937.78/20,916.50 = 6,542.48/x
  3. Step 3: Cross multiply
    13,937.78x = 20,916.50 × 6,542.48
  4. Step 4: Simplify right side
    13,937.78x = 136,845,802.50
  5. Step 5: Solve for x
    x = 136,845,802.50/13,937.78
  6. Step 6: Final answer
    x = 9,818.33

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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.