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Finding the Fourth Proportional to 14,699.32, 22,019.82 and 6,884.44

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Solution

The fourth proportional to 14,699.32, 22,019.82 and 6,884.44 is: 10,313.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,699.32 : 22,019.82 = 6,884.44 : x
  2. Step 2: Convert to fraction form
    14,699.32/22,019.82 = 6,884.44/x
  3. Step 3: Cross multiply
    14,699.32x = 22,019.82 × 6,884.44
  4. Step 4: Simplify right side
    14,699.32x = 151,594,129.60
  5. Step 5: Solve for x
    x = 151,594,129.60/14,699.32
  6. Step 6: Final answer
    x = 10,313.00

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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.