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Finding the Fourth Proportional to 14,613.35, 21,922.33 and 6,295.74

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Solution

The fourth proportional to 14,613.35, 21,922.33 and 6,295.74 is: 9,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.35 : 21,922.33 = 6,295.74 : x
  2. Step 2: Convert to fraction form
    14,613.35/21,922.33 = 6,295.74/x
  3. Step 3: Cross multiply
    14,613.35x = 21,922.33 × 6,295.74
  4. Step 4: Simplify right side
    14,613.35x = 138,017,280.68
  5. Step 5: Solve for x
    x = 138,017,280.68/14,613.35
  6. Step 6: Final answer
    x = 9,444.60

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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.