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Finding the Fourth Proportional to 17,000.96, 23,465.28 and 9,928.32

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Solution

The fourth proportional to 17,000.96, 23,465.28 and 9,928.32 is: 13,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,000.96 : 23,465.28 = 9,928.32 : x
  2. Step 2: Convert to fraction form
    17,000.96/23,465.28 = 9,928.32/x
  3. Step 3: Cross multiply
    17,000.96x = 23,465.28 × 9,928.32
  4. Step 4: Simplify right side
    17,000.96x = 232,970,808.73
  5. Step 5: Solve for x
    x = 232,970,808.73/17,000.96
  6. Step 6: Final answer
    x = 13,703.39

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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.