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Finding the Fourth Proportional to 16,006.41, 22,086.63 and 8,931.45

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Solution

The fourth proportional to 16,006.41, 22,086.63 and 8,931.45 is: 12,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.41 : 22,086.63 = 8,931.45 : x
  2. Step 2: Convert to fraction form
    16,006.41/22,086.63 = 8,931.45/x
  3. Step 3: Cross multiply
    16,006.41x = 22,086.63 × 8,931.45
  4. Step 4: Simplify right side
    16,006.41x = 197,265,631.51
  5. Step 5: Solve for x
    x = 197,265,631.51/16,006.41
  6. Step 6: Final answer
    x = 12,324.16

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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.