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Finding the Fourth Proportional to 27,733, 38,271.90 and 15,158.02

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Solution

The fourth proportional to 27,733, 38,271.90 and 15,158.02 is: 20,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733 : 38,271.90 = 15,158.02 : x
  2. Step 2: Convert to fraction form
    27,733/38,271.90 = 15,158.02/x
  3. Step 3: Cross multiply
    27,733x = 38,271.90 × 15,158.02
  4. Step 4: Simplify right side
    27,733x = 580,126,225.64
  5. Step 5: Solve for x
    x = 580,126,225.64/27,733
  6. Step 6: Final answer
    x = 20,918.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.