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Finding the Fourth Proportional to 16,460.52, 22,715.81 and 9,291.87

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Solution

The fourth proportional to 16,460.52, 22,715.81 and 9,291.87 is: 12,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.52 : 22,715.81 = 9,291.87 : x
  2. Step 2: Convert to fraction form
    16,460.52/22,715.81 = 9,291.87/x
  3. Step 3: Cross multiply
    16,460.52x = 22,715.81 × 9,291.87
  4. Step 4: Simplify right side
    16,460.52x = 211,072,193.43
  5. Step 5: Solve for x
    x = 211,072,193.43/16,460.52
  6. Step 6: Final answer
    x = 12,822.94

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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.