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Finding the Fourth Proportional to 23,666.33, 35,505.86 and 7,873.91

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Solution

The fourth proportional to 23,666.33, 35,505.86 and 7,873.91 is: 11,812.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,666.33 : 35,505.86 = 7,873.91 : x
  2. Step 2: Convert to fraction form
    23,666.33/35,505.86 = 7,873.91/x
  3. Step 3: Cross multiply
    23,666.33x = 35,505.86 × 7,873.91
  4. Step 4: Simplify right side
    23,666.33x = 279,569,729.21
  5. Step 5: Solve for x
    x = 279,569,729.21/23,666.33
  6. Step 6: Final answer
    x = 11,812.98

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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.