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Finding the Fourth Proportional to 23,426.02, 35,142.54 and 7,840

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Solution

The fourth proportional to 23,426.02, 35,142.54 and 7,840 is: 11,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,426.02 : 35,142.54 = 7,840 : x
  2. Step 2: Convert to fraction form
    23,426.02/35,142.54 = 7,840/x
  3. Step 3: Cross multiply
    23,426.02x = 35,142.54 × 7,840
  4. Step 4: Simplify right side
    23,426.02x = 275,517,513.60
  5. Step 5: Solve for x
    x = 275,517,513.60/23,426.02
  6. Step 6: Final answer
    x = 11,761.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.