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Finding the Fourth Proportional to 15,431.92, 23,137.35 and 7,422.46

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Solution

The fourth proportional to 15,431.92, 23,137.35 and 7,422.46 is: 11,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,431.92 : 23,137.35 = 7,422.46 : x
  2. Step 2: Convert to fraction form
    15,431.92/23,137.35 = 7,422.46/x
  3. Step 3: Cross multiply
    15,431.92x = 23,137.35 × 7,422.46
  4. Step 4: Simplify right side
    15,431.92x = 171,736,017.77
  5. Step 5: Solve for x
    x = 171,736,017.77/15,431.92
  6. Step 6: Final answer
    x = 11,128.62

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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.