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Finding the Fourth Proportional to 15,804.96, 23,710.32 and 5,414.40

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Solution

The fourth proportional to 15,804.96, 23,710.32 and 5,414.40 is: 8,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804.96 : 23,710.32 = 5,414.40 : x
  2. Step 2: Convert to fraction form
    15,804.96/23,710.32 = 5,414.40/x
  3. Step 3: Cross multiply
    15,804.96x = 23,710.32 × 5,414.40
  4. Step 4: Simplify right side
    15,804.96x = 128,377,156.61
  5. Step 5: Solve for x
    x = 128,377,156.61/15,804.96
  6. Step 6: Final answer
    x = 8,122.59

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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.