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Finding the Fourth Proportional to 26,397.52, 39,573.24 and 9,970

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Solution

The fourth proportional to 26,397.52, 39,573.24 and 9,970 is: 14,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,397.52 : 39,573.24 = 9,970 : x
  2. Step 2: Convert to fraction form
    26,397.52/39,573.24 = 9,970/x
  3. Step 3: Cross multiply
    26,397.52x = 39,573.24 × 9,970
  4. Step 4: Simplify right side
    26,397.52x = 394,545,202.80
  5. Step 5: Solve for x
    x = 394,545,202.80/26,397.52
  6. Step 6: Final answer
    x = 14,946.30

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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.