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Finding the Fourth Proportional to 35,516.44, 53,274.76 and 9,221.40

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Solution

The fourth proportional to 35,516.44, 53,274.76 and 9,221.40 is: 13,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,516.44 : 53,274.76 = 9,221.40 : x
  2. Step 2: Convert to fraction form
    35,516.44/53,274.76 = 9,221.40/x
  3. Step 3: Cross multiply
    35,516.44x = 53,274.76 × 9,221.40
  4. Step 4: Simplify right side
    35,516.44x = 491,267,871.86
  5. Step 5: Solve for x
    x = 491,267,871.86/35,516.44
  6. Step 6: Final answer
    x = 13,832.13

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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.