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Finding the Fourth Proportional to 16,176.58, 22,323.51 and 9,006.39

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Solution

The fourth proportional to 16,176.58, 22,323.51 and 9,006.39 is: 12,428.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,176.58 : 22,323.51 = 9,006.39 : x
  2. Step 2: Convert to fraction form
    16,176.58/22,323.51 = 9,006.39/x
  3. Step 3: Cross multiply
    16,176.58x = 22,323.51 × 9,006.39
  4. Step 4: Simplify right side
    16,176.58x = 201,054,237.23
  5. Step 5: Solve for x
    x = 201,054,237.23/16,176.58
  6. Step 6: Final answer
    x = 12,428.72

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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.