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Finding the Fourth Proportional to 23,344.75, 35,017.43 and 7,762.38

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Solution

The fourth proportional to 23,344.75, 35,017.43 and 7,762.38 is: 11,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,344.75 : 35,017.43 = 7,762.38 : x
  2. Step 2: Convert to fraction form
    23,344.75/35,017.43 = 7,762.38/x
  3. Step 3: Cross multiply
    23,344.75x = 35,017.43 × 7,762.38
  4. Step 4: Simplify right side
    23,344.75x = 271,818,423.20
  5. Step 5: Solve for x
    x = 271,818,423.20/23,344.75
  6. Step 6: Final answer
    x = 11,643.66

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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.