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Finding the Fourth Proportional to 14,161.02, 19,542.71 and 7,788.10

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Solution

The fourth proportional to 14,161.02, 19,542.71 and 7,788.10 is: 10,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.02 : 19,542.71 = 7,788.10 : x
  2. Step 2: Convert to fraction form
    14,161.02/19,542.71 = 7,788.10/x
  3. Step 3: Cross multiply
    14,161.02x = 19,542.71 × 7,788.10
  4. Step 4: Simplify right side
    14,161.02x = 152,200,579.75
  5. Step 5: Solve for x
    x = 152,200,579.75/14,161.02
  6. Step 6: Final answer
    x = 10,747.85

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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.