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Finding the Fourth Proportional to 21,182.43, 31,782.03 and 8,038.29

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Solution

The fourth proportional to 21,182.43, 31,782.03 and 8,038.29 is: 12,060.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,182.43 : 31,782.03 = 8,038.29 : x
  2. Step 2: Convert to fraction form
    21,182.43/31,782.03 = 8,038.29/x
  3. Step 3: Cross multiply
    21,182.43x = 31,782.03 × 8,038.29
  4. Step 4: Simplify right side
    21,182.43x = 255,473,173.93
  5. Step 5: Solve for x
    x = 255,473,173.93/21,182.43
  6. Step 6: Final answer
    x = 12,060.62

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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.