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Finding the Fourth Proportional to 14,102.11, 19,460.14 and 7,727.55

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Solution

The fourth proportional to 14,102.11, 19,460.14 and 7,727.55 is: 10,663.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.11 : 19,460.14 = 7,727.55 : x
  2. Step 2: Convert to fraction form
    14,102.11/19,460.14 = 7,727.55/x
  3. Step 3: Cross multiply
    14,102.11x = 19,460.14 × 7,727.55
  4. Step 4: Simplify right side
    14,102.11x = 150,379,204.86
  5. Step 5: Solve for x
    x = 150,379,204.86/14,102.11
  6. Step 6: Final answer
    x = 10,663.60

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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.