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Finding the Fourth Proportional to 19,670.72, 29,468.96 and 11,641.60

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Solution

The fourth proportional to 19,670.72, 29,468.96 and 11,641.60 is: 17,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670.72 : 29,468.96 = 11,641.60 : x
  2. Step 2: Convert to fraction form
    19,670.72/29,468.96 = 11,641.60/x
  3. Step 3: Cross multiply
    19,670.72x = 29,468.96 × 11,641.60
  4. Step 4: Simplify right side
    19,670.72x = 343,065,844.74
  5. Step 5: Solve for x
    x = 343,065,844.74/19,670.72
  6. Step 6: Final answer
    x = 17,440.43

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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.