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Finding the Fourth Proportional to 15,596.88, 21,523.70 and 8,523.42

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Solution

The fourth proportional to 15,596.88, 21,523.70 and 8,523.42 is: 11,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,596.88 : 21,523.70 = 8,523.42 : x
  2. Step 2: Convert to fraction form
    15,596.88/21,523.70 = 8,523.42/x
  3. Step 3: Cross multiply
    15,596.88x = 21,523.70 × 8,523.42
  4. Step 4: Simplify right side
    15,596.88x = 183,455,535.05
  5. Step 5: Solve for x
    x = 183,455,535.05/15,596.88
  6. Step 6: Final answer
    x = 11,762.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.