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Finding the Fourth Proportional to 15,686.93, 23,533.30 and 5,157.53

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Solution

The fourth proportional to 15,686.93, 23,533.30 and 5,157.53 is: 7,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.93 : 23,533.30 = 5,157.53 : x
  2. Step 2: Convert to fraction form
    15,686.93/23,533.30 = 5,157.53/x
  3. Step 3: Cross multiply
    15,686.93x = 23,533.30 × 5,157.53
  4. Step 4: Simplify right side
    15,686.93x = 121,373,766.03
  5. Step 5: Solve for x
    x = 121,373,766.03/15,686.93
  6. Step 6: Final answer
    x = 7,737.26

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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.