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Finding the Fourth Proportional to 35,397.09, 53,040.54 and 13,204.50

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Solution

The fourth proportional to 35,397.09, 53,040.54 and 13,204.50 is: 19,786.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,397.09 : 53,040.54 = 13,204.50 : x
  2. Step 2: Convert to fraction form
    35,397.09/53,040.54 = 13,204.50/x
  3. Step 3: Cross multiply
    35,397.09x = 53,040.54 × 13,204.50
  4. Step 4: Simplify right side
    35,397.09x = 700,373,810.43
  5. Step 5: Solve for x
    x = 700,373,810.43/35,397.09
  6. Step 6: Final answer
    x = 19,786.20

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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.