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Finding the Fourth Proportional to 15,735.56, 23,597.72 and 5,203.64

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Solution

The fourth proportional to 15,735.56, 23,597.72 and 5,203.64 is: 7,803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.56 : 23,597.72 = 5,203.64 : x
  2. Step 2: Convert to fraction form
    15,735.56/23,597.72 = 5,203.64/x
  3. Step 3: Cross multiply
    15,735.56x = 23,597.72 × 5,203.64
  4. Step 4: Simplify right side
    15,735.56x = 122,793,921.71
  5. Step 5: Solve for x
    x = 122,793,921.71/15,735.56
  6. Step 6: Final answer
    x = 7,803.59

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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.