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Finding the Fourth Proportional to 15,677.40, 21,634.83 and 8,603.85

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Solution

The fourth proportional to 15,677.40, 21,634.83 and 8,603.85 is: 11,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,677.40 : 21,634.83 = 8,603.85 : x
  2. Step 2: Convert to fraction form
    15,677.40/21,634.83 = 8,603.85/x
  3. Step 3: Cross multiply
    15,677.40x = 21,634.83 × 8,603.85
  4. Step 4: Simplify right side
    15,677.40x = 186,142,832.10
  5. Step 5: Solve for x
    x = 186,142,832.10/15,677.40
  6. Step 6: Final answer
    x = 11,873.32

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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.