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Finding the Fourth Proportional to 23,197.15, 34,784.19 and 7,400.11

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Solution

The fourth proportional to 23,197.15, 34,784.19 and 7,400.11 is: 11,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.15 : 34,784.19 = 7,400.11 : x
  2. Step 2: Convert to fraction form
    23,197.15/34,784.19 = 7,400.11/x
  3. Step 3: Cross multiply
    23,197.15x = 34,784.19 × 7,400.11
  4. Step 4: Simplify right side
    23,197.15x = 257,406,832.26
  5. Step 5: Solve for x
    x = 257,406,832.26/23,197.15
  6. Step 6: Final answer
    x = 11,096.49

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Why These Related Problems?

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