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Finding the Fourth Proportional to 14,152.54, 19,529.56 and 7,778.99

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Solution

The fourth proportional to 14,152.54, 19,529.56 and 7,778.99 is: 10,734.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,152.54 : 19,529.56 = 7,778.99 : x
  2. Step 2: Convert to fraction form
    14,152.54/19,529.56 = 7,778.99/x
  3. Step 3: Cross multiply
    14,152.54x = 19,529.56 × 7,778.99
  4. Step 4: Simplify right side
    14,152.54x = 151,920,251.94
  5. Step 5: Solve for x
    x = 151,920,251.94/14,152.54
  6. Step 6: Final answer
    x = 10,734.49

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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.