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Finding the Fourth Proportional to 10,944.96, 16,421.76 and 9,208.32

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Solution

The fourth proportional to 10,944.96, 16,421.76 and 9,208.32 is: 13,816.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,944.96 : 16,421.76 = 9,208.32 : x
  2. Step 2: Convert to fraction form
    10,944.96/16,421.76 = 9,208.32/x
  3. Step 3: Cross multiply
    10,944.96x = 16,421.76 × 9,208.32
  4. Step 4: Simplify right side
    10,944.96x = 151,216,821.04
  5. Step 5: Solve for x
    x = 151,216,821.04/10,944.96
  6. Step 6: Final answer
    x = 13,816.11

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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.