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Finding the Fourth Proportional to 12,064.39, 16,656.64 and 9,831.61

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Solution

The fourth proportional to 12,064.39, 16,656.64 and 9,831.61 is: 13,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.39 : 16,656.64 = 9,831.61 : x
  2. Step 2: Convert to fraction form
    12,064.39/16,656.64 = 9,831.61/x
  3. Step 3: Cross multiply
    12,064.39x = 16,656.64 × 9,831.61
  4. Step 4: Simplify right side
    12,064.39x = 163,761,584.63
  5. Step 5: Solve for x
    x = 163,761,584.63/12,064.39
  6. Step 6: Final answer
    x = 13,573.96

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