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Finding the Fourth Proportional to 35,696.28, 53,549.13 and 13,203.90

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Solution

The fourth proportional to 35,696.28, 53,549.13 and 13,203.90 is: 19,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,696.28 : 53,549.13 = 13,203.90 : x
  2. Step 2: Convert to fraction form
    35,696.28/53,549.13 = 13,203.90/x
  3. Step 3: Cross multiply
    35,696.28x = 53,549.13 × 13,203.90
  4. Step 4: Simplify right side
    35,696.28x = 707,057,357.61
  5. Step 5: Solve for x
    x = 707,057,357.61/35,696.28
  6. Step 6: Final answer
    x = 19,807.59

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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.