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Finding the Fourth Proportional to 12,064.22, 16,656.38 and 9,831.42

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Solution

The fourth proportional to 12,064.22, 16,656.38 and 9,831.42 is: 13,573.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.22 : 16,656.38 = 9,831.42 : x
  2. Step 2: Convert to fraction form
    12,064.22/16,656.38 = 9,831.42/x
  3. Step 3: Cross multiply
    12,064.22x = 16,656.38 × 9,831.42
  4. Step 4: Simplify right side
    12,064.22x = 163,755,818.30
  5. Step 5: Solve for x
    x = 163,755,818.30/12,064.22
  6. Step 6: Final answer
    x = 13,573.68

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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.