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Finding the Fourth Proportional to 23,709.00, 35,565.14 and 7,067.76

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Solution

The fourth proportional to 23,709.00, 35,565.14 and 7,067.76 is: 10,602.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709.00 : 35,565.14 = 7,067.76 : x
  2. Step 2: Convert to fraction form
    23,709.00/35,565.14 = 7,067.76/x
  3. Step 3: Cross multiply
    23,709.00x = 35,565.14 × 7,067.76
  4. Step 4: Simplify right side
    23,709.00x = 251,365,758.19
  5. Step 5: Solve for x
    x = 251,365,758.19/23,709.00
  6. Step 6: Final answer
    x = 10,602.12

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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.