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Finding the Fourth Proportional to 14,144.61, 19,519.61 and 7,771.71

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Solution

The fourth proportional to 14,144.61, 19,519.61 and 7,771.71 is: 10,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,144.61 : 19,519.61 = 7,771.71 : x
  2. Step 2: Convert to fraction form
    14,144.61/19,519.61 = 7,771.71/x
  3. Step 3: Cross multiply
    14,144.61x = 19,519.61 × 7,771.71
  4. Step 4: Simplify right side
    14,144.61x = 151,700,767.66
  5. Step 5: Solve for x
    x = 151,700,767.66/14,144.61
  6. Step 6: Final answer
    x = 10,724.99

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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.