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Finding the Fourth Proportional to 14,486.72, 21,733.12 and 5,252.16

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Solution

The fourth proportional to 14,486.72, 21,733.12 and 5,252.16 is: 7,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.72 : 21,733.12 = 5,252.16 : x
  2. Step 2: Convert to fraction form
    14,486.72/21,733.12 = 5,252.16/x
  3. Step 3: Cross multiply
    14,486.72x = 21,733.12 × 5,252.16
  4. Step 4: Simplify right side
    14,486.72x = 114,145,823.54
  5. Step 5: Solve for x
    x = 114,145,823.54/14,486.72
  6. Step 6: Final answer
    x = 7,879.34

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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.