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Finding the Fourth Proportional to 13,724.16, 20,590.08 and 5,927.68

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Solution

The fourth proportional to 13,724.16, 20,590.08 and 5,927.68 is: 8,893.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,724.16 : 20,590.08 = 5,927.68 : x
  2. Step 2: Convert to fraction form
    13,724.16/20,590.08 = 5,927.68/x
  3. Step 3: Cross multiply
    13,724.16x = 20,590.08 × 5,927.68
  4. Step 4: Simplify right side
    13,724.16x = 122,051,405.41
  5. Step 5: Solve for x
    x = 122,051,405.41/13,724.16
  6. Step 6: Final answer
    x = 8,893.18

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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.