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Finding the Fourth Proportional to 22,735.36, 34,085.92 and 15,319

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Solution

The fourth proportional to 22,735.36, 34,085.92 and 15,319 is: 22,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,735.36 : 34,085.92 = 15,319 : x
  2. Step 2: Convert to fraction form
    22,735.36/34,085.92 = 15,319/x
  3. Step 3: Cross multiply
    22,735.36x = 34,085.92 × 15,319
  4. Step 4: Simplify right side
    22,735.36x = 522,162,208.48
  5. Step 5: Solve for x
    x = 522,162,208.48/22,735.36
  6. Step 6: Final answer
    x = 22,966.96

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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.