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Finding the Fourth Proportional to 19,876.19, 29,820.24 and 8,023.86

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Solution

The fourth proportional to 19,876.19, 29,820.24 and 8,023.86 is: 12,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.19 : 29,820.24 = 8,023.86 : x
  2. Step 2: Convert to fraction form
    19,876.19/29,820.24 = 8,023.86/x
  3. Step 3: Cross multiply
    19,876.19x = 29,820.24 × 8,023.86
  4. Step 4: Simplify right side
    19,876.19x = 239,273,430.93
  5. Step 5: Solve for x
    x = 239,273,430.93/19,876.19
  6. Step 6: Final answer
    x = 12,038.19

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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.