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Finding the Fourth Proportional to 15,788.16, 23,682.88 and 5,400

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Solution

The fourth proportional to 15,788.16, 23,682.88 and 5,400 is: 8,100.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.16 : 23,682.88 = 5,400 : x
  2. Step 2: Convert to fraction form
    15,788.16/23,682.88 = 5,400/x
  3. Step 3: Cross multiply
    15,788.16x = 23,682.88 × 5,400
  4. Step 4: Simplify right side
    15,788.16x = 127,887,552
  5. Step 5: Solve for x
    x = 127,887,552/15,788.16
  6. Step 6: Final answer
    x = 8,100.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.