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Finding the Fourth Proportional to 14,086.41, 19,439.85 and 7,798.78

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Solution

The fourth proportional to 14,086.41, 19,439.85 and 7,798.78 is: 10,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,086.41 : 19,439.85 = 7,798.78 : x
  2. Step 2: Convert to fraction form
    14,086.41/19,439.85 = 7,798.78/x
  3. Step 3: Cross multiply
    14,086.41x = 19,439.85 × 7,798.78
  4. Step 4: Simplify right side
    14,086.41x = 151,607,123.06
  5. Step 5: Solve for x
    x = 151,607,123.06/14,086.41
  6. Step 6: Final answer
    x = 10,762.65

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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.