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Finding the Fourth Proportional to 27,783.98, 38,341.50 and 15,847.52

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Solution

The fourth proportional to 27,783.98, 38,341.50 and 15,847.52 is: 21,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.98 : 38,341.50 = 15,847.52 : x
  2. Step 2: Convert to fraction form
    27,783.98/38,341.50 = 15,847.52/x
  3. Step 3: Cross multiply
    27,783.98x = 38,341.50 × 15,847.52
  4. Step 4: Simplify right side
    27,783.98x = 607,617,640.15
  5. Step 5: Solve for x
    x = 607,617,640.15/27,783.98
  6. Step 6: Final answer
    x = 21,869.35

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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.