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Finding the Fourth Proportional to 21,611.96, 32,417.82 and 6,029

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Solution

The fourth proportional to 21,611.96, 32,417.82 and 6,029 is: 9,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,611.96 : 32,417.82 = 6,029 : x
  2. Step 2: Convert to fraction form
    21,611.96/32,417.82 = 6,029/x
  3. Step 3: Cross multiply
    21,611.96x = 32,417.82 × 6,029
  4. Step 4: Simplify right side
    21,611.96x = 195,447,036.78
  5. Step 5: Solve for x
    x = 195,447,036.78/21,611.96
  6. Step 6: Final answer
    x = 9,043.47

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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.