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Finding the Fourth Proportional to 23,617.44, 35,401.86 and 10,476

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Solution

The fourth proportional to 23,617.44, 35,401.86 and 10,476 is: 15,703.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,617.44 : 35,401.86 = 10,476 : x
  2. Step 2: Convert to fraction form
    23,617.44/35,401.86 = 10,476/x
  3. Step 3: Cross multiply
    23,617.44x = 35,401.86 × 10,476
  4. Step 4: Simplify right side
    23,617.44x = 370,869,885.36
  5. Step 5: Solve for x
    x = 370,869,885.36/23,617.44
  6. Step 6: Final answer
    x = 15,703.22

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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.