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Finding the Fourth Proportional to 15,703.54, 23,558.56 and 5,174.20

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Solution

The fourth proportional to 15,703.54, 23,558.56 and 5,174.20 is: 7,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,703.54 : 23,558.56 = 5,174.20 : x
  2. Step 2: Convert to fraction form
    15,703.54/23,558.56 = 5,174.20/x
  3. Step 3: Cross multiply
    15,703.54x = 23,558.56 × 5,174.20
  4. Step 4: Simplify right side
    15,703.54x = 121,896,701.15
  5. Step 5: Solve for x
    x = 121,896,701.15/15,703.54
  6. Step 6: Final answer
    x = 7,762.37

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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.