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Finding the Fourth Proportional to 23,530.64, 35,308.28 and 9,494.16

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Solution

The fourth proportional to 23,530.64, 35,308.28 and 9,494.16 is: 14,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.64 : 35,308.28 = 9,494.16 : x
  2. Step 2: Convert to fraction form
    23,530.64/35,308.28 = 9,494.16/x
  3. Step 3: Cross multiply
    23,530.64x = 35,308.28 × 9,494.16
  4. Step 4: Simplify right side
    23,530.64x = 335,222,459.64
  5. Step 5: Solve for x
    x = 335,222,459.64/23,530.64
  6. Step 6: Final answer
    x = 14,246.21

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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.