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Finding the Fourth Proportional to 14,114.93, 19,478.16 and 7,741.19

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Solution

The fourth proportional to 14,114.93, 19,478.16 and 7,741.19 is: 10,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.93 : 19,478.16 = 7,741.19 : x
  2. Step 2: Convert to fraction form
    14,114.93/19,478.16 = 7,741.19/x
  3. Step 3: Cross multiply
    14,114.93x = 19,478.16 × 7,741.19
  4. Step 4: Simplify right side
    14,114.93x = 150,784,040.02
  5. Step 5: Solve for x
    x = 150,784,040.02/14,114.93
  6. Step 6: Final answer
    x = 10,682.60

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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.