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Finding the Fourth Proportional to 16,002.22, 22,084.13 and 8,928.80

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Solution

The fourth proportional to 16,002.22, 22,084.13 and 8,928.80 is: 12,322.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.22 : 22,084.13 = 8,928.80 : x
  2. Step 2: Convert to fraction form
    16,002.22/22,084.13 = 8,928.80/x
  3. Step 3: Cross multiply
    16,002.22x = 22,084.13 × 8,928.80
  4. Step 4: Simplify right side
    16,002.22x = 197,184,779.94
  5. Step 5: Solve for x
    x = 197,184,779.94/16,002.22
  6. Step 6: Final answer
    x = 12,322.34

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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.