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Finding the Fourth Proportional to 15,774.14, 23,661.18 and 6,419.24

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Solution

The fourth proportional to 15,774.14, 23,661.18 and 6,419.24 is: 9,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.14 : 23,661.18 = 6,419.24 : x
  2. Step 2: Convert to fraction form
    15,774.14/23,661.18 = 6,419.24/x
  3. Step 3: Cross multiply
    15,774.14x = 23,661.18 × 6,419.24
  4. Step 4: Simplify right side
    15,774.14x = 151,886,793.10
  5. Step 5: Solve for x
    x = 151,886,793.10/15,774.14
  6. Step 6: Final answer
    x = 9,628.85

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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.