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Finding the Fourth Proportional to 23,578.29, 35,367.23 and 9,538.16

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Solution

The fourth proportional to 23,578.29, 35,367.23 and 9,538.16 is: 14,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,578.29 : 35,367.23 = 9,538.16 : x
  2. Step 2: Convert to fraction form
    23,578.29/35,367.23 = 9,538.16/x
  3. Step 3: Cross multiply
    23,578.29x = 35,367.23 × 9,538.16
  4. Step 4: Simplify right side
    23,578.29x = 337,338,145.51
  5. Step 5: Solve for x
    x = 337,338,145.51/23,578.29
  6. Step 6: Final answer
    x = 14,307.15

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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.