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Finding the Fourth Proportional to 15,778.48, 23,658.52 and 6,423

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Solution

The fourth proportional to 15,778.48, 23,658.52 and 6,423 is: 9,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.48 : 23,658.52 = 6,423 : x
  2. Step 2: Convert to fraction form
    15,778.48/23,658.52 = 6,423/x
  3. Step 3: Cross multiply
    15,778.48x = 23,658.52 × 6,423
  4. Step 4: Simplify right side
    15,778.48x = 151,958,673.96
  5. Step 5: Solve for x
    x = 151,958,673.96/15,778.48
  6. Step 6: Final answer
    x = 9,630.75

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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.