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Finding the Fourth Proportional to 27,543.28, 38,009.73 and 14,968

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Solution

The fourth proportional to 27,543.28, 38,009.73 and 14,968 is: 20,655.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,543.28 : 38,009.73 = 14,968 : x
  2. Step 2: Convert to fraction form
    27,543.28/38,009.73 = 14,968/x
  3. Step 3: Cross multiply
    27,543.28x = 38,009.73 × 14,968
  4. Step 4: Simplify right side
    27,543.28x = 568,929,638.64
  5. Step 5: Solve for x
    x = 568,929,638.64/27,543.28
  6. Step 6: Final answer
    x = 20,655.84

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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.