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Finding the Fourth Proportional to 15,800.94, 23,701.41 and 4,114.13

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Solution

The fourth proportional to 15,800.94, 23,701.41 and 4,114.13 is: 6,171.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.94 : 23,701.41 = 4,114.13 : x
  2. Step 2: Convert to fraction form
    15,800.94/23,701.41 = 4,114.13/x
  3. Step 3: Cross multiply
    15,800.94x = 23,701.41 × 4,114.13
  4. Step 4: Simplify right side
    15,800.94x = 97,510,563.42
  5. Step 5: Solve for x
    x = 97,510,563.42/15,800.94
  6. Step 6: Final answer
    x = 6,171.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.