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Finding the Fourth Proportional to 23,334.16, 32,200.44 and 12,724

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Solution

The fourth proportional to 23,334.16, 32,200.44 and 12,724 is: 17,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334.16 : 32,200.44 = 12,724 : x
  2. Step 2: Convert to fraction form
    23,334.16/32,200.44 = 12,724/x
  3. Step 3: Cross multiply
    23,334.16x = 32,200.44 × 12,724
  4. Step 4: Simplify right side
    23,334.16x = 409,718,398.56
  5. Step 5: Solve for x
    x = 409,718,398.56/23,334.16
  6. Step 6: Final answer
    x = 17,558.74

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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.