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Finding the Fourth Proportional to 16,148.40, 24,228.86 and 7,827.80

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Solution

The fourth proportional to 16,148.40, 24,228.86 and 7,827.80 is: 11,744.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.40 : 24,228.86 = 7,827.80 : x
  2. Step 2: Convert to fraction form
    16,148.40/24,228.86 = 7,827.80/x
  3. Step 3: Cross multiply
    16,148.40x = 24,228.86 × 7,827.80
  4. Step 4: Simplify right side
    16,148.40x = 189,658,670.31
  5. Step 5: Solve for x
    x = 189,658,670.31/16,148.40
  6. Step 6: Final answer
    x = 11,744.73

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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.