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Finding the Fourth Proportional to 23,756, 35,643.52 and 8,969.11

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Solution

The fourth proportional to 23,756, 35,643.52 and 8,969.11 is: 13,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,756 : 35,643.52 = 8,969.11 : x
  2. Step 2: Convert to fraction form
    23,756/35,643.52 = 8,969.11/x
  3. Step 3: Cross multiply
    23,756x = 35,643.52 × 8,969.11
  4. Step 4: Simplify right side
    23,756x = 319,690,651.67
  5. Step 5: Solve for x
    x = 319,690,651.67/23,756
  6. Step 6: Final answer
    x = 13,457.26

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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.