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Finding the Fourth Proportional to 23,602.26, 35,409.54 and 8,811.30

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Solution

The fourth proportional to 23,602.26, 35,409.54 and 8,811.30 is: 13,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.26 : 35,409.54 = 8,811.30 : x
  2. Step 2: Convert to fraction form
    23,602.26/35,409.54 = 8,811.30/x
  3. Step 3: Cross multiply
    23,602.26x = 35,409.54 × 8,811.30
  4. Step 4: Simplify right side
    23,602.26x = 312,004,079.80
  5. Step 5: Solve for x
    x = 312,004,079.80/23,602.26
  6. Step 6: Final answer
    x = 13,219.25

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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.