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Finding the Fourth Proportional to 17,534, 24,197.64 and 10,082

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Solution

The fourth proportional to 17,534, 24,197.64 and 10,082 is: 13,913.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534 : 24,197.64 = 10,082 : x
  2. Step 2: Convert to fraction form
    17,534/24,197.64 = 10,082/x
  3. Step 3: Cross multiply
    17,534x = 24,197.64 × 10,082
  4. Step 4: Simplify right side
    17,534x = 243,960,606.48
  5. Step 5: Solve for x
    x = 243,960,606.48/17,534
  6. Step 6: Final answer
    x = 13,913.57

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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.