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Finding the Fourth Proportional to 23,643.12, 32,627.05 and 12,888.09

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Solution

The fourth proportional to 23,643.12, 32,627.05 and 12,888.09 is: 17,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,643.12 : 32,627.05 = 12,888.09 : x
  2. Step 2: Convert to fraction form
    23,643.12/32,627.05 = 12,888.09/x
  3. Step 3: Cross multiply
    23,643.12x = 32,627.05 × 12,888.09
  4. Step 4: Simplify right side
    23,643.12x = 420,500,356.83
  5. Step 5: Solve for x
    x = 420,500,356.83/23,643.12
  6. Step 6: Final answer
    x = 17,785.32

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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.