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Finding the Fourth Proportional to 14,155.74, 19,535.02 and 7,782.44

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Solution

The fourth proportional to 14,155.74, 19,535.02 and 7,782.44 is: 10,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,155.74 : 19,535.02 = 7,782.44 : x
  2. Step 2: Convert to fraction form
    14,155.74/19,535.02 = 7,782.44/x
  3. Step 3: Cross multiply
    14,155.74x = 19,535.02 × 7,782.44
  4. Step 4: Simplify right side
    14,155.74x = 152,030,121.05
  5. Step 5: Solve for x
    x = 152,030,121.05/14,155.74
  6. Step 6: Final answer
    x = 10,739.82

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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.