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Finding the Fourth Proportional to 23,635.74, 35,453.61 and 6,106.98

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Solution

The fourth proportional to 23,635.74, 35,453.61 and 6,106.98 is: 9,160.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.74 : 35,453.61 = 6,106.98 : x
  2. Step 2: Convert to fraction form
    23,635.74/35,453.61 = 6,106.98/x
  3. Step 3: Cross multiply
    23,635.74x = 35,453.61 × 6,106.98
  4. Step 4: Simplify right side
    23,635.74x = 216,514,487.20
  5. Step 5: Solve for x
    x = 216,514,487.20/23,635.74
  6. Step 6: Final answer
    x = 9,160.47

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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.