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Finding the Fourth Proportional to 26,471.41, 39,714.00 and 9,836.24

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Solution

The fourth proportional to 26,471.41, 39,714.00 and 9,836.24 is: 14,756.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,471.41 : 39,714.00 = 9,836.24 : x
  2. Step 2: Convert to fraction form
    26,471.41/39,714.00 = 9,836.24/x
  3. Step 3: Cross multiply
    26,471.41x = 39,714.00 × 9,836.24
  4. Step 4: Simplify right side
    26,471.41x = 390,636,199.90
  5. Step 5: Solve for x
    x = 390,636,199.90/26,471.41
  6. Step 6: Final answer
    x = 14,756.91

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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.