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Finding the Fourth Proportional to 15,935.53, 23,903.25 and 4,842.16

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Solution

The fourth proportional to 15,935.53, 23,903.25 and 4,842.16 is: 7,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,935.53 : 23,903.25 = 4,842.16 : x
  2. Step 2: Convert to fraction form
    15,935.53/23,903.25 = 4,842.16/x
  3. Step 3: Cross multiply
    15,935.53x = 23,903.25 × 4,842.16
  4. Step 4: Simplify right side
    15,935.53x = 115,743,361.02
  5. Step 5: Solve for x
    x = 115,743,361.02/15,935.53
  6. Step 6: Final answer
    x = 7,263.23

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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.