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Finding the Fourth Proportional to 10,226.99, 14,170.04 and 10,005.53

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Solution

The fourth proportional to 10,226.99, 14,170.04 and 10,005.53 is: 13,863.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.99 : 14,170.04 = 10,005.53 : x
  2. Step 2: Convert to fraction form
    10,226.99/14,170.04 = 10,005.53/x
  3. Step 3: Cross multiply
    10,226.99x = 14,170.04 × 10,005.53
  4. Step 4: Simplify right side
    10,226.99x = 141,778,639.44
  5. Step 5: Solve for x
    x = 141,778,639.44/10,226.99
  6. Step 6: Final answer
    x = 13,863.19

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.