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Finding the Fourth Proportional to 19,468.32, 29,207.34 and 5,617.32

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Solution

The fourth proportional to 19,468.32, 29,207.34 and 5,617.32 is: 8,427.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,468.32 : 29,207.34 = 5,617.32 : x
  2. Step 2: Convert to fraction form
    19,468.32/29,207.34 = 5,617.32/x
  3. Step 3: Cross multiply
    19,468.32x = 29,207.34 × 5,617.32
  4. Step 4: Simplify right side
    19,468.32x = 164,066,975.13
  5. Step 5: Solve for x
    x = 164,066,975.13/19,468.32
  6. Step 6: Final answer
    x = 8,427.38

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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.