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Finding the Fourth Proportional to 23,447.26, 35,173.98 and 7,646.74

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Solution

The fourth proportional to 23,447.26, 35,173.98 and 7,646.74 is: 11,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,447.26 : 35,173.98 = 7,646.74 : x
  2. Step 2: Convert to fraction form
    23,447.26/35,173.98 = 7,646.74/x
  3. Step 3: Cross multiply
    23,447.26x = 35,173.98 × 7,646.74
  4. Step 4: Simplify right side
    23,447.26x = 268,966,279.83
  5. Step 5: Solve for x
    x = 268,966,279.83/23,447.26
  6. Step 6: Final answer
    x = 11,471.12

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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.