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Finding the Fourth Proportional to 14,929.86, 20,603.37 and 8,216.10

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Solution

The fourth proportional to 14,929.86, 20,603.37 and 8,216.10 is: 11,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,929.86 : 20,603.37 = 8,216.10 : x
  2. Step 2: Convert to fraction form
    14,929.86/20,603.37 = 8,216.10/x
  3. Step 3: Cross multiply
    14,929.86x = 20,603.37 × 8,216.10
  4. Step 4: Simplify right side
    14,929.86x = 169,279,348.26
  5. Step 5: Solve for x
    x = 169,279,348.26/14,929.86
  6. Step 6: Final answer
    x = 11,338.31

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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.