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Finding the Fourth Proportional to 21,240.72, 31,861.26 and 7,380

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Solution

The fourth proportional to 21,240.72, 31,861.26 and 7,380 is: 11,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,240.72 : 31,861.26 = 7,380 : x
  2. Step 2: Convert to fraction form
    21,240.72/31,861.26 = 7,380/x
  3. Step 3: Cross multiply
    21,240.72x = 31,861.26 × 7,380
  4. Step 4: Simplify right side
    21,240.72x = 235,136,098.80
  5. Step 5: Solve for x
    x = 235,136,098.80/21,240.72
  6. Step 6: Final answer
    x = 11,070.06

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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.