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Finding the Fourth Proportional to 14,716.22, 20,312.83 and 10,003.24

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Solution

The fourth proportional to 14,716.22, 20,312.83 and 10,003.24 is: 13,807.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.22 : 20,312.83 = 10,003.24 : x
  2. Step 2: Convert to fraction form
    14,716.22/20,312.83 = 10,003.24/x
  3. Step 3: Cross multiply
    14,716.22x = 20,312.83 × 10,003.24
  4. Step 4: Simplify right side
    14,716.22x = 203,194,113.57
  5. Step 5: Solve for x
    x = 203,194,113.57/14,716.22
  6. Step 6: Final answer
    x = 13,807.49

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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.