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Finding the Fourth Proportional to 17,132.48, 23,643.60 and 13,400

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Solution

The fourth proportional to 17,132.48, 23,643.60 and 13,400 is: 18,492.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,132.48 : 23,643.60 = 13,400 : x
  2. Step 2: Convert to fraction form
    17,132.48/23,643.60 = 13,400/x
  3. Step 3: Cross multiply
    17,132.48x = 23,643.60 × 13,400
  4. Step 4: Simplify right side
    17,132.48x = 316,824,240
  5. Step 5: Solve for x
    x = 316,824,240/17,132.48
  6. Step 6: Final answer
    x = 18,492.61

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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.