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Finding the Fourth Proportional to 23,925.84, 35,891.15 and 9,147.19

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Solution

The fourth proportional to 23,925.84, 35,891.15 and 9,147.19 is: 13,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,925.84 : 35,891.15 = 9,147.19 : x
  2. Step 2: Convert to fraction form
    23,925.84/35,891.15 = 9,147.19/x
  3. Step 3: Cross multiply
    23,925.84x = 35,891.15 × 9,147.19
  4. Step 4: Simplify right side
    23,925.84x = 328,303,168.37
  5. Step 5: Solve for x
    x = 328,303,168.37/23,925.84
  6. Step 6: Final answer
    x = 13,721.70

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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.