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Finding the Fourth Proportional to 23,466.59, 32,384.01 and 12,856.23

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Solution

The fourth proportional to 23,466.59, 32,384.01 and 12,856.23 is: 17,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.59 : 32,384.01 = 12,856.23 : x
  2. Step 2: Convert to fraction form
    23,466.59/32,384.01 = 12,856.23/x
  3. Step 3: Cross multiply
    23,466.59x = 32,384.01 × 12,856.23
  4. Step 4: Simplify right side
    23,466.59x = 416,336,054.68
  5. Step 5: Solve for x
    x = 416,336,054.68/23,466.59
  6. Step 6: Final answer
    x = 17,741.65

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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.