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Finding the Fourth Proportional to 21,702.90, 32,554.32 and 6,911.82

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Solution

The fourth proportional to 21,702.90, 32,554.32 and 6,911.82 is: 10,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.90 : 32,554.32 = 6,911.82 : x
  2. Step 2: Convert to fraction form
    21,702.90/32,554.32 = 6,911.82/x
  3. Step 3: Cross multiply
    21,702.90x = 32,554.32 × 6,911.82
  4. Step 4: Simplify right side
    21,702.90x = 225,009,600.06
  5. Step 5: Solve for x
    x = 225,009,600.06/21,702.90
  6. Step 6: Final answer
    x = 10,367.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.