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Finding the Fourth Proportional to 23,614.64, 35,416.28 and 6,970.18

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Solution

The fourth proportional to 23,614.64, 35,416.28 and 6,970.18 is: 10,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.64 : 35,416.28 = 6,970.18 : x
  2. Step 2: Convert to fraction form
    23,614.64/35,416.28 = 6,970.18/x
  3. Step 3: Cross multiply
    23,614.64x = 35,416.28 × 6,970.18
  4. Step 4: Simplify right side
    23,614.64x = 246,857,846.53
  5. Step 5: Solve for x
    x = 246,857,846.53/23,614.64
  6. Step 6: Final answer
    x = 10,453.59

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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.