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Finding the Fourth Proportional to 17,986, 24,823.92 and 10,534

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Solution

The fourth proportional to 17,986, 24,823.92 and 10,534 is: 14,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,986 : 24,823.92 = 10,534 : x
  2. Step 2: Convert to fraction form
    17,986/24,823.92 = 10,534/x
  3. Step 3: Cross multiply
    17,986x = 24,823.92 × 10,534
  4. Step 4: Simplify right side
    17,986x = 261,495,173.28
  5. Step 5: Solve for x
    x = 261,495,173.28/17,986
  6. Step 6: Final answer
    x = 14,538.82

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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.