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Finding the Fourth Proportional to 21,165.48, 29,213.64 and 13,210.56

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Solution

The fourth proportional to 21,165.48, 29,213.64 and 13,210.56 is: 18,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.48 : 29,213.64 = 13,210.56 : x
  2. Step 2: Convert to fraction form
    21,165.48/29,213.64 = 13,210.56/x
  3. Step 3: Cross multiply
    21,165.48x = 29,213.64 × 13,210.56
  4. Step 4: Simplify right side
    21,165.48x = 385,928,544.04
  5. Step 5: Solve for x
    x = 385,928,544.04/21,165.48
  6. Step 6: Final answer
    x = 18,233.87

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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.