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Finding the Fourth Proportional to 13,184.63, 19,777.19 and 6,162.72

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Solution

The fourth proportional to 13,184.63, 19,777.19 and 6,162.72 is: 9,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,184.63 : 19,777.19 = 6,162.72 : x
  2. Step 2: Convert to fraction form
    13,184.63/19,777.19 = 6,162.72/x
  3. Step 3: Cross multiply
    13,184.63x = 19,777.19 × 6,162.72
  4. Step 4: Simplify right side
    13,184.63x = 121,881,253.54
  5. Step 5: Solve for x
    x = 121,881,253.54/13,184.63
  6. Step 6: Final answer
    x = 9,244.20

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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.