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Finding the Fourth Proportional to 23,498.64, 35,247.96 and 13,706.28

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Solution

The fourth proportional to 23,498.64, 35,247.96 and 13,706.28 is: 20,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.64 : 35,247.96 = 13,706.28 : x
  2. Step 2: Convert to fraction form
    23,498.64/35,247.96 = 13,706.28/x
  3. Step 3: Cross multiply
    23,498.64x = 35,247.96 × 13,706.28
  4. Step 4: Simplify right side
    23,498.64x = 483,118,409.19
  5. Step 5: Solve for x
    x = 483,118,409.19/23,498.64
  6. Step 6: Final answer
    x = 20,559.42

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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.