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Finding the Fourth Proportional to 15,787.08, 23,661.77 and 7,342.17

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Solution

The fourth proportional to 15,787.08, 23,661.77 and 7,342.17 is: 11,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,787.08 : 23,661.77 = 7,342.17 : x
  2. Step 2: Convert to fraction form
    15,787.08/23,661.77 = 7,342.17/x
  3. Step 3: Cross multiply
    15,787.08x = 23,661.77 × 7,342.17
  4. Step 4: Simplify right side
    15,787.08x = 173,728,701.13
  5. Step 5: Solve for x
    x = 173,728,701.13/15,787.08
  6. Step 6: Final answer
    x = 11,004.49

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Why These Related Problems?

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