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Finding the Fourth Proportional to 15,462.64, 23,193.96 and 6,228.64

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Solution

The fourth proportional to 15,462.64, 23,193.96 and 6,228.64 is: 9,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462.64 : 23,193.96 = 6,228.64 : x
  2. Step 2: Convert to fraction form
    15,462.64/23,193.96 = 6,228.64/x
  3. Step 3: Cross multiply
    15,462.64x = 23,193.96 × 6,228.64
  4. Step 4: Simplify right side
    15,462.64x = 144,466,827.01
  5. Step 5: Solve for x
    x = 144,466,827.01/15,462.64
  6. Step 6: Final answer
    x = 9,342.96

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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.