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Finding the Fourth Proportional to 27,808.83, 38,376 and 15,871.50

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Solution

The fourth proportional to 27,808.83, 38,376 and 15,871.50 is: 21,902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.83 : 38,376 = 15,871.50 : x
  2. Step 2: Convert to fraction form
    27,808.83/38,376 = 15,871.50/x
  3. Step 3: Cross multiply
    27,808.83x = 38,376 × 15,871.50
  4. Step 4: Simplify right side
    27,808.83x = 609,084,684
  5. Step 5: Solve for x
    x = 609,084,684/27,808.83
  6. Step 6: Final answer
    x = 21,902.56

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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.