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Finding the Fourth Proportional to 17,407.93, 24,017.22 and 9,853.51

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Solution

The fourth proportional to 17,407.93, 24,017.22 and 9,853.51 is: 13,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.93 : 24,017.22 = 9,853.51 : x
  2. Step 2: Convert to fraction form
    17,407.93/24,017.22 = 9,853.51/x
  3. Step 3: Cross multiply
    17,407.93x = 24,017.22 × 9,853.51
  4. Step 4: Simplify right side
    17,407.93x = 236,653,917.44
  5. Step 5: Solve for x
    x = 236,653,917.44/17,407.93
  6. Step 6: Final answer
    x = 13,594.60

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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.