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Finding the Fourth Proportional to 16,534, 22,816.32 and 9,460

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Solution

The fourth proportional to 16,534, 22,816.32 and 9,460 is: 13,054.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534 : 22,816.32 = 9,460 : x
  2. Step 2: Convert to fraction form
    16,534/22,816.32 = 9,460/x
  3. Step 3: Cross multiply
    16,534x = 22,816.32 × 9,460
  4. Step 4: Simplify right side
    16,534x = 215,842,387.20
  5. Step 5: Solve for x
    x = 215,842,387.20/16,534
  6. Step 6: Final answer
    x = 13,054.46

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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.