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Finding the Fourth Proportional to 23,084.09, 34,588.16 and 9,746.12

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Solution

The fourth proportional to 23,084.09, 34,588.16 and 9,746.12 is: 14,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,084.09 : 34,588.16 = 9,746.12 : x
  2. Step 2: Convert to fraction form
    23,084.09/34,588.16 = 9,746.12/x
  3. Step 3: Cross multiply
    23,084.09x = 34,588.16 × 9,746.12
  4. Step 4: Simplify right side
    23,084.09x = 337,100,487.05
  5. Step 5: Solve for x
    x = 337,100,487.05/23,084.09
  6. Step 6: Final answer
    x = 14,603.15

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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.