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Finding the Fourth Proportional to 27,808.64, 38,376.54 and 15,871.73

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Solution

The fourth proportional to 27,808.64, 38,376.54 and 15,871.73 is: 21,903.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.64 : 38,376.54 = 15,871.73 : x
  2. Step 2: Convert to fraction form
    27,808.64/38,376.54 = 15,871.73/x
  3. Step 3: Cross multiply
    27,808.64x = 38,376.54 × 15,871.73
  4. Step 4: Simplify right side
    27,808.64x = 609,102,081.21
  5. Step 5: Solve for x
    x = 609,102,081.21/27,808.64
  6. Step 6: Final answer
    x = 21,903.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.