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Finding the Fourth Proportional to 15,937.58, 23,906.10 and 5,549.06

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Solution

The fourth proportional to 15,937.58, 23,906.10 and 5,549.06 is: 8,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937.58 : 23,906.10 = 5,549.06 : x
  2. Step 2: Convert to fraction form
    15,937.58/23,906.10 = 5,549.06/x
  3. Step 3: Cross multiply
    15,937.58x = 23,906.10 × 5,549.06
  4. Step 4: Simplify right side
    15,937.58x = 132,656,463.84
  5. Step 5: Solve for x
    x = 132,656,463.84/15,937.58
  6. Step 6: Final answer
    x = 8,323.50

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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.