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Finding the Fourth Proportional to 10,181.16, 15,241.02 and 9,207.72

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Solution

The fourth proportional to 10,181.16, 15,241.02 and 9,207.72 is: 13,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.16 : 15,241.02 = 9,207.72 : x
  2. Step 2: Convert to fraction form
    10,181.16/15,241.02 = 9,207.72/x
  3. Step 3: Cross multiply
    10,181.16x = 15,241.02 × 9,207.72
  4. Step 4: Simplify right side
    10,181.16x = 140,335,044.67
  5. Step 5: Solve for x
    x = 140,335,044.67/10,181.16
  6. Step 6: Final answer
    x = 13,783.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.