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Finding the Fourth Proportional to 27,656.16, 38,166.48 and 15,720

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Solution

The fourth proportional to 27,656.16, 38,166.48 and 15,720 is: 21,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,656.16 : 38,166.48 = 15,720 : x
  2. Step 2: Convert to fraction form
    27,656.16/38,166.48 = 15,720/x
  3. Step 3: Cross multiply
    27,656.16x = 38,166.48 × 15,720
  4. Step 4: Simplify right side
    27,656.16x = 599,977,065.60
  5. Step 5: Solve for x
    x = 599,977,065.60/27,656.16
  6. Step 6: Final answer
    x = 21,694.16

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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.