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Finding the Fourth Proportional to 17,156, 23,678.56 and 9,704

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Solution

The fourth proportional to 17,156, 23,678.56 and 9,704 is: 13,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,156 : 23,678.56 = 9,704 : x
  2. Step 2: Convert to fraction form
    17,156/23,678.56 = 9,704/x
  3. Step 3: Cross multiply
    17,156x = 23,678.56 × 9,704
  4. Step 4: Simplify right side
    17,156x = 229,776,746.24
  5. Step 5: Solve for x
    x = 229,776,746.24/17,156
  6. Step 6: Final answer
    x = 13,393.38

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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.