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Finding the Fourth Proportional to 23,329.84, 35,009.27 and 9,478.84

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Solution

The fourth proportional to 23,329.84, 35,009.27 and 9,478.84 is: 14,224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,329.84 : 35,009.27 = 9,478.84 : x
  2. Step 2: Convert to fraction form
    23,329.84/35,009.27 = 9,478.84/x
  3. Step 3: Cross multiply
    23,329.84x = 35,009.27 × 9,478.84
  4. Step 4: Simplify right side
    23,329.84x = 331,847,354.08
  5. Step 5: Solve for x
    x = 331,847,354.08/23,329.84
  6. Step 6: Final answer
    x = 14,224.16

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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.