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Finding the Fourth Proportional to 17,007.88, 23,464.14 and 9,836.48

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Solution

The fourth proportional to 17,007.88, 23,464.14 and 9,836.48 is: 13,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,007.88 : 23,464.14 = 9,836.48 : x
  2. Step 2: Convert to fraction form
    17,007.88/23,464.14 = 9,836.48/x
  3. Step 3: Cross multiply
    17,007.88x = 23,464.14 × 9,836.48
  4. Step 4: Simplify right side
    17,007.88x = 230,804,543.83
  5. Step 5: Solve for x
    x = 230,804,543.83/17,007.88
  6. Step 6: Final answer
    x = 13,570.45

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1.5x scale

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.