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Finding the Fourth Proportional to 27,793.04, 38,354.12 and 15,046

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Solution

The fourth proportional to 27,793.04, 38,354.12 and 15,046 is: 20,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.04 : 38,354.12 = 15,046 : x
  2. Step 2: Convert to fraction form
    27,793.04/38,354.12 = 15,046/x
  3. Step 3: Cross multiply
    27,793.04x = 38,354.12 × 15,046
  4. Step 4: Simplify right side
    27,793.04x = 577,076,089.52
  5. Step 5: Solve for x
    x = 577,076,089.52/27,793.04
  6. Step 6: Final answer
    x = 20,763.33

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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.