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Finding the Fourth Proportional to 19,873.32, 29,823.63 and 8,186.52

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Solution

The fourth proportional to 19,873.32, 29,823.63 and 8,186.52 is: 12,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,873.32 : 29,823.63 = 8,186.52 : x
  2. Step 2: Convert to fraction form
    19,873.32/29,823.63 = 8,186.52/x
  3. Step 3: Cross multiply
    19,873.32x = 29,823.63 × 8,186.52
  4. Step 4: Simplify right side
    19,873.32x = 244,151,743.47
  5. Step 5: Solve for x
    x = 244,151,743.47/19,873.32
  6. Step 6: Final answer
    x = 12,285.40

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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.