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Finding the Fourth Proportional to 11,299.60, 16,935.72 and 9,971.02

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Solution

The fourth proportional to 11,299.60, 16,935.72 and 9,971.02 is: 14,944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.60 : 16,935.72 = 9,971.02 : x
  2. Step 2: Convert to fraction form
    11,299.60/16,935.72 = 9,971.02/x
  3. Step 3: Cross multiply
    11,299.60x = 16,935.72 × 9,971.02
  4. Step 4: Simplify right side
    11,299.60x = 168,866,402.83
  5. Step 5: Solve for x
    x = 168,866,402.83/11,299.60
  6. Step 6: Final answer
    x = 14,944.46

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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.