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Finding the Fourth Proportional to 23,701.47, 35,544.65 and 9,661.47

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Solution

The fourth proportional to 23,701.47, 35,544.65 and 9,661.47 is: 14,489.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,701.47 : 35,544.65 = 9,661.47 : x
  2. Step 2: Convert to fraction form
    23,701.47/35,544.65 = 9,661.47/x
  3. Step 3: Cross multiply
    23,701.47x = 35,544.65 × 9,661.47
  4. Step 4: Simplify right side
    23,701.47x = 343,413,521.33
  5. Step 5: Solve for x
    x = 343,413,521.33/23,701.47
  6. Step 6: Final answer
    x = 14,489.12

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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.