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Finding the Fourth Proportional to 35,393.76, 53,084.16 and 13,201.20

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Solution

The fourth proportional to 35,393.76, 53,084.16 and 13,201.20 is: 19,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,393.76 : 53,084.16 = 13,201.20 : x
  2. Step 2: Convert to fraction form
    35,393.76/53,084.16 = 13,201.20/x
  3. Step 3: Cross multiply
    35,393.76x = 53,084.16 × 13,201.20
  4. Step 4: Simplify right side
    35,393.76x = 700,774,612.99
  5. Step 5: Solve for x
    x = 700,774,612.99/35,393.76
  6. Step 6: Final answer
    x = 19,799.38

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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.