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Finding the Fourth Proportional to 35,415.09, 53,143.16 and 13,227.64

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Solution

The fourth proportional to 35,415.09, 53,143.16 and 13,227.64 is: 19,849.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415.09 : 53,143.16 = 13,227.64 : x
  2. Step 2: Convert to fraction form
    35,415.09/53,143.16 = 13,227.64/x
  3. Step 3: Cross multiply
    35,415.09x = 53,143.16 × 13,227.64
  4. Step 4: Simplify right side
    35,415.09x = 702,958,389.95
  5. Step 5: Solve for x
    x = 702,958,389.95/35,415.09
  6. Step 6: Final answer
    x = 19,849.12

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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.