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Finding the Fourth Proportional to 13,181.83, 19,777.62 and 6,164.13

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Solution

The fourth proportional to 13,181.83, 19,777.62 and 6,164.13 is: 9,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,181.83 : 19,777.62 = 6,164.13 : x
  2. Step 2: Convert to fraction form
    13,181.83/19,777.62 = 6,164.13/x
  3. Step 3: Cross multiply
    13,181.83x = 19,777.62 × 6,164.13
  4. Step 4: Simplify right side
    13,181.83x = 121,911,820.77
  5. Step 5: Solve for x
    x = 121,911,820.77/13,181.83
  6. Step 6: Final answer
    x = 9,248.47

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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.