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Finding the Fourth Proportional to 17,837.33, 24,615.47 and 10,283.63

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Solution

The fourth proportional to 17,837.33, 24,615.47 and 10,283.63 is: 14,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,837.33 : 24,615.47 = 10,283.63 : x
  2. Step 2: Convert to fraction form
    17,837.33/24,615.47 = 10,283.63/x
  3. Step 3: Cross multiply
    17,837.33x = 24,615.47 × 10,283.63
  4. Step 4: Simplify right side
    17,837.33x = 253,136,334.34
  5. Step 5: Solve for x
    x = 253,136,334.34/17,837.33
  6. Step 6: Final answer
    x = 14,191.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.