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Finding the Fourth Proportional to 23,409.50, 35,117.75 and 8,617.28

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Solution

The fourth proportional to 23,409.50, 35,117.75 and 8,617.28 is: 12,927.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.50 : 35,117.75 = 8,617.28 : x
  2. Step 2: Convert to fraction form
    23,409.50/35,117.75 = 8,617.28/x
  3. Step 3: Cross multiply
    23,409.50x = 35,117.75 × 8,617.28
  4. Step 4: Simplify right side
    23,409.50x = 302,619,441.63
  5. Step 5: Solve for x
    x = 302,619,441.63/23,409.50
  6. Step 6: Final answer
    x = 12,927.21

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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.