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Finding the Fourth Proportional to 12,961.35, 19,444.77 and 7,341.66

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Solution

The fourth proportional to 12,961.35, 19,444.77 and 7,341.66 is: 11,014.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.35 : 19,444.77 = 7,341.66 : x
  2. Step 2: Convert to fraction form
    12,961.35/19,444.77 = 7,341.66/x
  3. Step 3: Cross multiply
    12,961.35x = 19,444.77 × 7,341.66
  4. Step 4: Simplify right side
    12,961.35x = 142,756,890.12
  5. Step 5: Solve for x
    x = 142,756,890.12/12,961.35
  6. Step 6: Final answer
    x = 11,014.04

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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.