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Finding the Fourth Proportional to 19,652.74, 29,478.82 and 4,861.66

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Solution

The fourth proportional to 19,652.74, 29,478.82 and 4,861.66 is: 7,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,652.74 : 29,478.82 = 4,861.66 : x
  2. Step 2: Convert to fraction form
    19,652.74/29,478.82 = 4,861.66/x
  3. Step 3: Cross multiply
    19,652.74x = 29,478.82 × 4,861.66
  4. Step 4: Simplify right side
    19,652.74x = 143,316,000.04
  5. Step 5: Solve for x
    x = 143,316,000.04/19,652.74
  6. Step 6: Final answer
    x = 7,292.42

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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.