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Finding the Fourth Proportional to 20,264.78, 27,965.16 and 11,314.50

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Solution

The fourth proportional to 20,264.78, 27,965.16 and 11,314.50 is: 15,613.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.78 : 27,965.16 = 11,314.50 : x
  2. Step 2: Convert to fraction form
    20,264.78/27,965.16 = 11,314.50/x
  3. Step 3: Cross multiply
    20,264.78x = 27,965.16 × 11,314.50
  4. Step 4: Simplify right side
    20,264.78x = 316,411,802.82
  5. Step 5: Solve for x
    x = 316,411,802.82/20,264.78
  6. Step 6: Final answer
    x = 15,613.88

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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.