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Finding the Fourth Proportional to 14,653.26, 21,984.75 and 9,742.23

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Solution

The fourth proportional to 14,653.26, 21,984.75 and 9,742.23 is: 14,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.26 : 21,984.75 = 9,742.23 : x
  2. Step 2: Convert to fraction form
    14,653.26/21,984.75 = 9,742.23/x
  3. Step 3: Cross multiply
    14,653.26x = 21,984.75 × 9,742.23
  4. Step 4: Simplify right side
    14,653.26x = 214,180,490.99
  5. Step 5: Solve for x
    x = 214,180,490.99/14,653.26
  6. Step 6: Final answer
    x = 14,616.58

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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.