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Finding the Fourth Proportional to 21,892.78, 32,838.72 and 7,102.59

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Solution

The fourth proportional to 21,892.78, 32,838.72 and 7,102.59 is: 10,653.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.78 : 32,838.72 = 7,102.59 : x
  2. Step 2: Convert to fraction form
    21,892.78/32,838.72 = 7,102.59/x
  3. Step 3: Cross multiply
    21,892.78x = 32,838.72 × 7,102.59
  4. Step 4: Simplify right side
    21,892.78x = 233,239,814.50
  5. Step 5: Solve for x
    x = 233,239,814.50/21,892.78
  6. Step 6: Final answer
    x = 10,653.73

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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.