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Finding the Fourth Proportional to 23,840.24, 35,762.06 and 6,309.86

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Solution

The fourth proportional to 23,840.24, 35,762.06 and 6,309.86 is: 9,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.24 : 35,762.06 = 6,309.86 : x
  2. Step 2: Convert to fraction form
    23,840.24/35,762.06 = 6,309.86/x
  3. Step 3: Cross multiply
    23,840.24x = 35,762.06 × 6,309.86
  4. Step 4: Simplify right side
    23,840.24x = 225,653,381.55
  5. Step 5: Solve for x
    x = 225,653,381.55/23,840.24
  6. Step 6: Final answer
    x = 9,465.23

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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.