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Finding the Fourth Proportional to 35,226.36, 52,824.18 and 13,323

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Solution

The fourth proportional to 35,226.36, 52,824.18 and 13,323 is: 19,978.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,226.36 : 52,824.18 = 13,323 : x
  2. Step 2: Convert to fraction form
    35,226.36/52,824.18 = 13,323/x
  3. Step 3: Cross multiply
    35,226.36x = 52,824.18 × 13,323
  4. Step 4: Simplify right side
    35,226.36x = 703,776,550.14
  5. Step 5: Solve for x
    x = 703,776,550.14/35,226.36
  6. Step 6: Final answer
    x = 19,978.69

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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.