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Finding the Fourth Proportional to 21,702.41, 32,556 and 6,907.86

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Solution

The fourth proportional to 21,702.41, 32,556 and 6,907.86 is: 10,362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.41 : 32,556 = 6,907.86 : x
  2. Step 2: Convert to fraction form
    21,702.41/32,556 = 6,907.86/x
  3. Step 3: Cross multiply
    21,702.41x = 32,556 × 6,907.86
  4. Step 4: Simplify right side
    21,702.41x = 224,892,290.16
  5. Step 5: Solve for x
    x = 224,892,290.16/21,702.41
  6. Step 6: Final answer
    x = 10,362.55

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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.