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Finding the Fourth Proportional to 14,613.12, 21,936.06 and 5,854.14

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Solution

The fourth proportional to 14,613.12, 21,936.06 and 5,854.14 is: 8,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613.12 : 21,936.06 = 5,854.14 : x
  2. Step 2: Convert to fraction form
    14,613.12/21,936.06 = 5,854.14/x
  3. Step 3: Cross multiply
    14,613.12x = 21,936.06 × 5,854.14
  4. Step 4: Simplify right side
    14,613.12x = 128,416,766.29
  5. Step 5: Solve for x
    x = 128,416,766.29/14,613.12
  6. Step 6: Final answer
    x = 8,787.77

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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.