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Finding the Fourth Proportional to 23,474, 32,411.40 and 16,009.04

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Solution

The fourth proportional to 23,474, 32,411.40 and 16,009.04 is: 22,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474 : 32,411.40 = 16,009.04 : x
  2. Step 2: Convert to fraction form
    23,474/32,411.40 = 16,009.04/x
  3. Step 3: Cross multiply
    23,474x = 32,411.40 × 16,009.04
  4. Step 4: Simplify right side
    23,474x = 518,875,399.06
  5. Step 5: Solve for x
    x = 518,875,399.06/23,474
  6. Step 6: Final answer
    x = 22,104.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.