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Finding the Fourth Proportional to 27,957.30, 38,580.75 and 20,819.16

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Solution

The fourth proportional to 27,957.30, 38,580.75 and 20,819.16 is: 28,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.30 : 38,580.75 = 20,819.16 : x
  2. Step 2: Convert to fraction form
    27,957.30/38,580.75 = 20,819.16/x
  3. Step 3: Cross multiply
    27,957.30x = 38,580.75 × 20,819.16
  4. Step 4: Simplify right side
    27,957.30x = 803,218,807.17
  5. Step 5: Solve for x
    x = 803,218,807.17/27,957.30
  6. Step 6: Final answer
    x = 28,730.20

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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.