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Finding the Fourth Proportional to 20,126.16, 27,774.90 and 11,628

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Solution

The fourth proportional to 20,126.16, 27,774.90 and 11,628 is: 16,047.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,126.16 : 27,774.90 = 11,628 : x
  2. Step 2: Convert to fraction form
    20,126.16/27,774.90 = 11,628/x
  3. Step 3: Cross multiply
    20,126.16x = 27,774.90 × 11,628
  4. Step 4: Simplify right side
    20,126.16x = 322,966,537.20
  5. Step 5: Solve for x
    x = 322,966,537.20/20,126.16
  6. Step 6: Final answer
    x = 16,047.10

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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.