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Finding the Fourth Proportional to 22,303, 33,435.42 and 9,147.16

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Solution

The fourth proportional to 22,303, 33,435.42 and 9,147.16 is: 13,712.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303 : 33,435.42 = 9,147.16 : x
  2. Step 2: Convert to fraction form
    22,303/33,435.42 = 9,147.16/x
  3. Step 3: Cross multiply
    22,303x = 33,435.42 × 9,147.16
  4. Step 4: Simplify right side
    22,303x = 305,839,136.41
  5. Step 5: Solve for x
    x = 305,839,136.41/22,303
  6. Step 6: Final answer
    x = 13,712.91

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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.