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Finding the Fourth Proportional to 15,806.53, 23,711.16 and 4,119.75

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Solution

The fourth proportional to 15,806.53, 23,711.16 and 4,119.75 is: 6,179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.53 : 23,711.16 = 4,119.75 : x
  2. Step 2: Convert to fraction form
    15,806.53/23,711.16 = 4,119.75/x
  3. Step 3: Cross multiply
    15,806.53x = 23,711.16 × 4,119.75
  4. Step 4: Simplify right side
    15,806.53x = 97,684,066.86
  5. Step 5: Solve for x
    x = 97,684,066.86/15,806.53
  6. Step 6: Final answer
    x = 6,179.98

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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.