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Finding the Fourth Proportional to 13,498.64, 18,624.89 and 8,192.46

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Solution

The fourth proportional to 13,498.64, 18,624.89 and 8,192.46 is: 11,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.64 : 18,624.89 = 8,192.46 : x
  2. Step 2: Convert to fraction form
    13,498.64/18,624.89 = 8,192.46/x
  3. Step 3: Cross multiply
    13,498.64x = 18,624.89 × 8,192.46
  4. Step 4: Simplify right side
    13,498.64x = 152,583,666.33
  5. Step 5: Solve for x
    x = 152,583,666.33/13,498.64
  6. Step 6: Final answer
    x = 11,303.64

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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.