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Finding the Fourth Proportional to 17,133.64, 25,642 and 14,363.44

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Solution

The fourth proportional to 17,133.64, 25,642 and 14,363.44 is: 21,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,133.64 : 25,642 = 14,363.44 : x
  2. Step 2: Convert to fraction form
    17,133.64/25,642 = 14,363.44/x
  3. Step 3: Cross multiply
    17,133.64x = 25,642 × 14,363.44
  4. Step 4: Simplify right side
    17,133.64x = 368,307,328.48
  5. Step 5: Solve for x
    x = 368,307,328.48/17,133.64
  6. Step 6: Final answer
    x = 21,496.15

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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.