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Finding the Fourth Proportional to 27,957.75, 38,582.51 and 15,382.50

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Solution

The fourth proportional to 27,957.75, 38,582.51 and 15,382.50 is: 21,228.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.75 : 38,582.51 = 15,382.50 : x
  2. Step 2: Convert to fraction form
    27,957.75/38,582.51 = 15,382.50/x
  3. Step 3: Cross multiply
    27,957.75x = 38,582.51 × 15,382.50
  4. Step 4: Simplify right side
    27,957.75x = 593,495,383.16
  5. Step 5: Solve for x
    x = 593,495,383.16/27,957.75
  6. Step 6: Final answer
    x = 21,228.30

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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.