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Finding the Fourth Proportional to 23,564.64, 35,346.96 and 9,530.88

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Solution

The fourth proportional to 23,564.64, 35,346.96 and 9,530.88 is: 14,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.64 : 35,346.96 = 9,530.88 : x
  2. Step 2: Convert to fraction form
    23,564.64/35,346.96 = 9,530.88/x
  3. Step 3: Cross multiply
    23,564.64x = 35,346.96 × 9,530.88
  4. Step 4: Simplify right side
    23,564.64x = 336,887,634.12
  5. Step 5: Solve for x
    x = 336,887,634.12/23,564.64
  6. Step 6: Final answer
    x = 14,296.32

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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.