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Finding the Fourth Proportional to 15,735.29, 23,597.31 and 5,203.37

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Solution

The fourth proportional to 15,735.29, 23,597.31 and 5,203.37 is: 7,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.29 : 23,597.31 = 5,203.37 : x
  2. Step 2: Convert to fraction form
    15,735.29/23,597.31 = 5,203.37/x
  3. Step 3: Cross multiply
    15,735.29x = 23,597.31 × 5,203.37
  4. Step 4: Simplify right side
    15,735.29x = 122,785,534.93
  5. Step 5: Solve for x
    x = 122,785,534.93/15,735.29
  6. Step 6: Final answer
    x = 7,803.19

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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.