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Finding the Fourth Proportional to 16,559.91, 22,852.95 and 9,006.39

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Solution

The fourth proportional to 16,559.91, 22,852.95 and 9,006.39 is: 12,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,559.91 : 22,852.95 = 9,006.39 : x
  2. Step 2: Convert to fraction form
    16,559.91/22,852.95 = 9,006.39/x
  3. Step 3: Cross multiply
    16,559.91x = 22,852.95 × 9,006.39
  4. Step 4: Simplify right side
    16,559.91x = 205,822,580.35
  5. Step 5: Solve for x
    x = 205,822,580.35/16,559.91
  6. Step 6: Final answer
    x = 12,428.97

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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.