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Finding the Fourth Proportional to 21,492.54, 32,238.82 and 6,702.65

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Solution

The fourth proportional to 21,492.54, 32,238.82 and 6,702.65 is: 10,053.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,492.54 : 32,238.82 = 6,702.65 : x
  2. Step 2: Convert to fraction form
    21,492.54/32,238.82 = 6,702.65/x
  3. Step 3: Cross multiply
    21,492.54x = 32,238.82 × 6,702.65
  4. Step 4: Simplify right side
    21,492.54x = 216,085,526.87
  5. Step 5: Solve for x
    x = 216,085,526.87/21,492.54
  6. Step 6: Final answer
    x = 10,053.98

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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.