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Finding the Fourth Proportional to 23,694.24, 35,534.16 and 9,840

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Solution

The fourth proportional to 23,694.24, 35,534.16 and 9,840 is: 14,757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.24 : 35,534.16 = 9,840 : x
  2. Step 2: Convert to fraction form
    23,694.24/35,534.16 = 9,840/x
  3. Step 3: Cross multiply
    23,694.24x = 35,534.16 × 9,840
  4. Step 4: Simplify right side
    23,694.24x = 349,656,134.40
  5. Step 5: Solve for x
    x = 349,656,134.40/23,694.24
  6. Step 6: Final answer
    x = 14,757.01

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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.