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Finding the Fourth Proportional to 27,783.38, 38,346.54 and 15,845.60

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Solution

The fourth proportional to 27,783.38, 38,346.54 and 15,845.60 is: 21,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.38 : 38,346.54 = 15,845.60 : x
  2. Step 2: Convert to fraction form
    27,783.38/38,346.54 = 15,845.60/x
  3. Step 3: Cross multiply
    27,783.38x = 38,346.54 × 15,845.60
  4. Step 4: Simplify right side
    27,783.38x = 607,623,934.22
  5. Step 5: Solve for x
    x = 607,623,934.22/27,783.38
  6. Step 6: Final answer
    x = 21,870.05

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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.