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Finding the Fourth Proportional to 22,518.66, 31,076.22 and 12,447.93

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Solution

The fourth proportional to 22,518.66, 31,076.22 and 12,447.93 is: 17,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518.66 : 31,076.22 = 12,447.93 : x
  2. Step 2: Convert to fraction form
    22,518.66/31,076.22 = 12,447.93/x
  3. Step 3: Cross multiply
    22,518.66x = 31,076.22 × 12,447.93
  4. Step 4: Simplify right side
    22,518.66x = 386,834,611.22
  5. Step 5: Solve for x
    x = 386,834,611.22/22,518.66
  6. Step 6: Final answer
    x = 17,178.40

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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.