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Finding the Fourth Proportional to 11,320.90, 16,956.56 and 8,024.00

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Solution

The fourth proportional to 11,320.90, 16,956.56 and 8,024.00 is: 12,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,320.90 : 16,956.56 = 8,024.00 : x
  2. Step 2: Convert to fraction form
    11,320.90/16,956.56 = 8,024.00/x
  3. Step 3: Cross multiply
    11,320.90x = 16,956.56 × 8,024.00
  4. Step 4: Simplify right side
    11,320.90x = 136,059,372.72
  5. Step 5: Solve for x
    x = 136,059,372.72/11,320.90
  6. Step 6: Final answer
    x = 12,018.43

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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.