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Finding the Fourth Proportional to 15,687.94, 23,525 and 7,370.32

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Solution

The fourth proportional to 15,687.94, 23,525 and 7,370.32 is: 11,052.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.94 : 23,525 = 7,370.32 : x
  2. Step 2: Convert to fraction form
    15,687.94/23,525 = 7,370.32/x
  3. Step 3: Cross multiply
    15,687.94x = 23,525 × 7,370.32
  4. Step 4: Simplify right side
    15,687.94x = 173,386,778
  5. Step 5: Solve for x
    x = 173,386,778/15,687.94
  6. Step 6: Final answer
    x = 11,052.23

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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.