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Finding the Fourth Proportional to 21,247.16, 29,319.72 and 13,289

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Solution

The fourth proportional to 21,247.16, 29,319.72 and 13,289 is: 18,337.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,247.16 : 29,319.72 = 13,289 : x
  2. Step 2: Convert to fraction form
    21,247.16/29,319.72 = 13,289/x
  3. Step 3: Cross multiply
    21,247.16x = 29,319.72 × 13,289
  4. Step 4: Simplify right side
    21,247.16x = 389,629,759.08
  5. Step 5: Solve for x
    x = 389,629,759.08/21,247.16
  6. Step 6: Final answer
    x = 18,337.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.