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Finding the Fourth Proportional to 14,055.86, 19,396.89 and 7,768.10

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Solution

The fourth proportional to 14,055.86, 19,396.89 and 7,768.10 is: 10,719.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,055.86 : 19,396.89 = 7,768.10 : x
  2. Step 2: Convert to fraction form
    14,055.86/19,396.89 = 7,768.10/x
  3. Step 3: Cross multiply
    14,055.86x = 19,396.89 × 7,768.10
  4. Step 4: Simplify right side
    14,055.86x = 150,676,981.21
  5. Step 5: Solve for x
    x = 150,676,981.21/14,055.86
  6. Step 6: Final answer
    x = 10,719.87

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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.