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Finding the Fourth Proportional to 14,114.69, 19,478.53 and 7,740.87

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Solution

The fourth proportional to 14,114.69, 19,478.53 and 7,740.87 is: 10,682.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.69 : 19,478.53 = 7,740.87 : x
  2. Step 2: Convert to fraction form
    14,114.69/19,478.53 = 7,740.87/x
  3. Step 3: Cross multiply
    14,114.69x = 19,478.53 × 7,740.87
  4. Step 4: Simplify right side
    14,114.69x = 150,780,768.52
  5. Step 5: Solve for x
    x = 150,780,768.52/14,114.69
  6. Step 6: Final answer
    x = 10,682.54

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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.