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Finding the Fourth Proportional to 21,892.50, 32,838.84 and 5,476.50

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Solution

The fourth proportional to 21,892.50, 32,838.84 and 5,476.50 is: 8,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892.50 : 32,838.84 = 5,476.50 : x
  2. Step 2: Convert to fraction form
    21,892.50/32,838.84 = 5,476.50/x
  3. Step 3: Cross multiply
    21,892.50x = 32,838.84 × 5,476.50
  4. Step 4: Simplify right side
    21,892.50x = 179,841,907.26
  5. Step 5: Solve for x
    x = 179,841,907.26/21,892.50
  6. Step 6: Final answer
    x = 8,214.77

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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.