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Finding the Fourth Proportional to 16,386.14, 24,564.63 and 7,616.27

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Solution

The fourth proportional to 16,386.14, 24,564.63 and 7,616.27 is: 11,417.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,386.14 : 24,564.63 = 7,616.27 : x
  2. Step 2: Convert to fraction form
    16,386.14/24,564.63 = 7,616.27/x
  3. Step 3: Cross multiply
    16,386.14x = 24,564.63 × 7,616.27
  4. Step 4: Simplify right side
    16,386.14x = 187,090,944.50
  5. Step 5: Solve for x
    x = 187,090,944.50/16,386.14
  6. Step 6: Final answer
    x = 11,417.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.