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Finding the Fourth Proportional to 10,181.21, 14,050.04 and 6,202.32

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Solution

The fourth proportional to 10,181.21, 14,050.04 and 6,202.32 is: 8,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.21 : 14,050.04 = 6,202.32 : x
  2. Step 2: Convert to fraction form
    10,181.21/14,050.04 = 6,202.32/x
  3. Step 3: Cross multiply
    10,181.21x = 14,050.04 × 6,202.32
  4. Step 4: Simplify right side
    10,181.21x = 87,142,831.71
  5. Step 5: Solve for x
    x = 87,142,831.71/10,181.21
  6. Step 6: Final answer
    x = 8,559.19

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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.