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Finding the Fourth Proportional to 19,875.19, 29,818.74 and 8,022.86

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Solution

The fourth proportional to 19,875.19, 29,818.74 and 8,022.86 is: 12,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.19 : 29,818.74 = 8,022.86 : x
  2. Step 2: Convert to fraction form
    19,875.19/29,818.74 = 8,022.86/x
  3. Step 3: Cross multiply
    19,875.19x = 29,818.74 × 8,022.86
  4. Step 4: Simplify right side
    19,875.19x = 239,231,576.40
  5. Step 5: Solve for x
    x = 239,231,576.40/19,875.19
  6. Step 6: Final answer
    x = 12,036.69

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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.