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Finding the Fourth Proportional to 16,148.86, 24,223.26 and 6,290.44

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Solution

The fourth proportional to 16,148.86, 24,223.26 and 6,290.44 is: 9,435.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.86 : 24,223.26 = 6,290.44 : x
  2. Step 2: Convert to fraction form
    16,148.86/24,223.26 = 6,290.44/x
  3. Step 3: Cross multiply
    16,148.86x = 24,223.26 × 6,290.44
  4. Step 4: Simplify right side
    16,148.86x = 152,374,963.63
  5. Step 5: Solve for x
    x = 152,374,963.63/16,148.86
  6. Step 6: Final answer
    x = 9,435.65

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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.