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Finding the Fourth Proportional to 15,835.71, 21,853.62 and 8,762.61

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Solution

The fourth proportional to 15,835.71, 21,853.62 and 8,762.61 is: 12,092.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,835.71 : 21,853.62 = 8,762.61 : x
  2. Step 2: Convert to fraction form
    15,835.71/21,853.62 = 8,762.61/x
  3. Step 3: Cross multiply
    15,835.71x = 21,853.62 × 8,762.61
  4. Step 4: Simplify right side
    15,835.71x = 191,494,749.15
  5. Step 5: Solve for x
    x = 191,494,749.15/15,835.71
  6. Step 6: Final answer
    x = 12,092.59

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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.