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Finding the Fourth Proportional to 21,521.49, 32,284.08 and 5,939.11

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Solution

The fourth proportional to 21,521.49, 32,284.08 and 5,939.11 is: 8,909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,521.49 : 32,284.08 = 5,939.11 : x
  2. Step 2: Convert to fraction form
    21,521.49/32,284.08 = 5,939.11/x
  3. Step 3: Cross multiply
    21,521.49x = 32,284.08 × 5,939.11
  4. Step 4: Simplify right side
    21,521.49x = 191,738,702.37
  5. Step 5: Solve for x
    x = 191,738,702.37/21,521.49
  6. Step 6: Final answer
    x = 8,909.17

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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.