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Finding the Fourth Proportional to 23,584.59, 32,546.73 and 14,153.16

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Solution

The fourth proportional to 23,584.59, 32,546.73 and 14,153.16 is: 19,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,584.59 : 32,546.73 = 14,153.16 : x
  2. Step 2: Convert to fraction form
    23,584.59/32,546.73 = 14,153.16/x
  3. Step 3: Cross multiply
    23,584.59x = 32,546.73 × 14,153.16
  4. Step 4: Simplify right side
    23,584.59x = 460,639,077.17
  5. Step 5: Solve for x
    x = 460,639,077.17/23,584.59
  6. Step 6: Final answer
    x = 19,531.36

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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.