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Finding the Fourth Proportional to 23,466.68, 32,383.74 and 12,856.16

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Solution

The fourth proportional to 23,466.68, 32,383.74 and 12,856.16 is: 17,741.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.68 : 32,383.74 = 12,856.16 : x
  2. Step 2: Convert to fraction form
    23,466.68/32,383.74 = 12,856.16/x
  3. Step 3: Cross multiply
    23,466.68x = 32,383.74 × 12,856.16
  4. Step 4: Simplify right side
    23,466.68x = 416,330,542.84
  5. Step 5: Solve for x
    x = 416,330,542.84/23,466.68
  6. Step 6: Final answer
    x = 17,741.35

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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.