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Finding the Fourth Proportional to 11,886.50, 16,374.75 and 9,998.12

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Solution

The fourth proportional to 11,886.50, 16,374.75 and 9,998.12 is: 13,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,886.50 : 16,374.75 = 9,998.12 : x
  2. Step 2: Convert to fraction form
    11,886.50/16,374.75 = 9,998.12/x
  3. Step 3: Cross multiply
    11,886.50x = 16,374.75 × 9,998.12
  4. Step 4: Simplify right side
    11,886.50x = 163,716,715.47
  5. Step 5: Solve for x
    x = 163,716,715.47/11,886.50
  6. Step 6: Final answer
    x = 13,773.33

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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.