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Finding the Fourth Proportional to 15,823.42, 21,835.45 and 8,749.38

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Solution

The fourth proportional to 15,823.42, 21,835.45 and 8,749.38 is: 12,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.42 : 21,835.45 = 8,749.38 : x
  2. Step 2: Convert to fraction form
    15,823.42/21,835.45 = 8,749.38/x
  3. Step 3: Cross multiply
    15,823.42x = 21,835.45 × 8,749.38
  4. Step 4: Simplify right side
    15,823.42x = 191,046,649.52
  5. Step 5: Solve for x
    x = 191,046,649.52/15,823.42
  6. Step 6: Final answer
    x = 12,073.66

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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.