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Finding the Fourth Proportional to 15,116.08, 22,677.42 and 6,346

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Solution

The fourth proportional to 15,116.08, 22,677.42 and 6,346 is: 9,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,116.08 : 22,677.42 = 6,346 : x
  2. Step 2: Convert to fraction form
    15,116.08/22,677.42 = 6,346/x
  3. Step 3: Cross multiply
    15,116.08x = 22,677.42 × 6,346
  4. Step 4: Simplify right side
    15,116.08x = 143,910,907.32
  5. Step 5: Solve for x
    x = 143,910,907.32/15,116.08
  6. Step 6: Final answer
    x = 9,520.39

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