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Finding the Fourth Proportional to 23,482, 32,406.12 and 12,872.02

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Solution

The fourth proportional to 23,482, 32,406.12 and 12,872.02 is: 17,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,482 : 32,406.12 = 12,872.02 : x
  2. Step 2: Convert to fraction form
    23,482/32,406.12 = 12,872.02/x
  3. Step 3: Cross multiply
    23,482x = 32,406.12 × 12,872.02
  4. Step 4: Simplify right side
    23,482x = 417,132,224.76
  5. Step 5: Solve for x
    x = 417,132,224.76/23,482
  6. Step 6: Final answer
    x = 17,763.91

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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.