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Finding the Fourth Proportional to 11,298.32, 16,938.32 and 9,756.64

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Solution

The fourth proportional to 11,298.32, 16,938.32 and 9,756.64 is: 14,627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,298.32 : 16,938.32 = 9,756.64 : x
  2. Step 2: Convert to fraction form
    11,298.32/16,938.32 = 9,756.64/x
  3. Step 3: Cross multiply
    11,298.32x = 16,938.32 × 9,756.64
  4. Step 4: Simplify right side
    11,298.32x = 165,261,090.44
  5. Step 5: Solve for x
    x = 165,261,090.44/11,298.32
  6. Step 6: Final answer
    x = 14,627.05

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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.