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Finding the Fourth Proportional to 12,961.64, 19,449.14 and 5,564.16

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Solution

The fourth proportional to 12,961.64, 19,449.14 and 5,564.16 is: 8,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,961.64 : 19,449.14 = 5,564.16 : x
  2. Step 2: Convert to fraction form
    12,961.64/19,449.14 = 5,564.16/x
  3. Step 3: Cross multiply
    12,961.64x = 19,449.14 × 5,564.16
  4. Step 4: Simplify right side
    12,961.64x = 108,218,126.82
  5. Step 5: Solve for x
    x = 108,218,126.82/12,961.64
  6. Step 6: Final answer
    x = 8,349.11

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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.