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Finding the Fourth Proportional to 16,024.01, 22,112.75 and 8,854.50

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Solution

The fourth proportional to 16,024.01, 22,112.75 and 8,854.50 is: 12,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.01 : 22,112.75 = 8,854.50 : x
  2. Step 2: Convert to fraction form
    16,024.01/22,112.75 = 8,854.50/x
  3. Step 3: Cross multiply
    16,024.01x = 22,112.75 × 8,854.50
  4. Step 4: Simplify right side
    16,024.01x = 195,797,300.60
  5. Step 5: Solve for x
    x = 195,797,300.60/16,024.01
  6. Step 6: Final answer
    x = 12,219.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.