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Finding the Fourth Proportional to 16,534, 22,816.98 and 9,082

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Solution

The fourth proportional to 16,534, 22,816.98 and 9,082 is: 12,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534 : 22,816.98 = 9,082 : x
  2. Step 2: Convert to fraction form
    16,534/22,816.98 = 9,082/x
  3. Step 3: Cross multiply
    16,534x = 22,816.98 × 9,082
  4. Step 4: Simplify right side
    16,534x = 207,223,812.36
  5. Step 5: Solve for x
    x = 207,223,812.36/16,534
  6. Step 6: Final answer
    x = 12,533.19

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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.