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Finding the Fourth Proportional to 23,502.56, 32,435.61 and 12,894.26

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Solution

The fourth proportional to 23,502.56, 32,435.61 and 12,894.26 is: 17,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.56 : 32,435.61 = 12,894.26 : x
  2. Step 2: Convert to fraction form
    23,502.56/32,435.61 = 12,894.26/x
  3. Step 3: Cross multiply
    23,502.56x = 32,435.61 × 12,894.26
  4. Step 4: Simplify right side
    23,502.56x = 418,233,188.60
  5. Step 5: Solve for x
    x = 418,233,188.60/23,502.56
  6. Step 6: Final answer
    x = 17,795.22

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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.