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Finding the Fourth Proportional to 13,562.04, 18,717.46 and 8,184.74

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Solution

The fourth proportional to 13,562.04, 18,717.46 and 8,184.74 is: 11,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.04 : 18,717.46 = 8,184.74 : x
  2. Step 2: Convert to fraction form
    13,562.04/18,717.46 = 8,184.74/x
  3. Step 3: Cross multiply
    13,562.04x = 18,717.46 × 8,184.74
  4. Step 4: Simplify right side
    13,562.04x = 153,197,543.56
  5. Step 5: Solve for x
    x = 153,197,543.56/13,562.04
  6. Step 6: Final answer
    x = 11,296.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.