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Finding the Fourth Proportional to 27,957.14, 38,574.52 and 20,407.58

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Solution

The fourth proportional to 27,957.14, 38,574.52 and 20,407.58 is: 28,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.14 : 38,574.52 = 20,407.58 : x
  2. Step 2: Convert to fraction form
    27,957.14/38,574.52 = 20,407.58/x
  3. Step 3: Cross multiply
    27,957.14x = 38,574.52 × 20,407.58
  4. Step 4: Simplify right side
    27,957.14x = 787,212,602.86
  5. Step 5: Solve for x
    x = 787,212,602.86/27,957.14
  6. Step 6: Final answer
    x = 28,157.84

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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.