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Finding the Fourth Proportional to 23,838.69, 35,751.17 and 9,607.13

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Solution

The fourth proportional to 23,838.69, 35,751.17 and 9,607.13 is: 14,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.69 : 35,751.17 = 9,607.13 : x
  2. Step 2: Convert to fraction form
    23,838.69/35,751.17 = 9,607.13/x
  3. Step 3: Cross multiply
    23,838.69x = 35,751.17 × 9,607.13
  4. Step 4: Simplify right side
    23,838.69x = 343,465,911.05
  5. Step 5: Solve for x
    x = 343,465,911.05/23,838.69
  6. Step 6: Final answer
    x = 14,407.92

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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.