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Finding the Fourth Proportional to 15,642.59, 21,581.48 and 8,923.49

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Solution

The fourth proportional to 15,642.59, 21,581.48 and 8,923.49 is: 12,311.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.59 : 21,581.48 = 8,923.49 : x
  2. Step 2: Convert to fraction form
    15,642.59/21,581.48 = 8,923.49/x
  3. Step 3: Cross multiply
    15,642.59x = 21,581.48 × 8,923.49
  4. Step 4: Simplify right side
    15,642.59x = 192,582,035.37
  5. Step 5: Solve for x
    x = 192,582,035.37/15,642.59
  6. Step 6: Final answer
    x = 12,311.39

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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.