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Finding the Fourth Proportional to 19,627.24, 29,434.62 and 6,477.16

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Solution

The fourth proportional to 19,627.24, 29,434.62 and 6,477.16 is: 9,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,627.24 : 29,434.62 = 6,477.16 : x
  2. Step 2: Convert to fraction form
    19,627.24/29,434.62 = 6,477.16/x
  3. Step 3: Cross multiply
    19,627.24x = 29,434.62 × 6,477.16
  4. Step 4: Simplify right side
    19,627.24x = 190,652,743.28
  5. Step 5: Solve for x
    x = 190,652,743.28/19,627.24
  6. Step 6: Final answer
    x = 9,713.68

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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.