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Finding the Fourth Proportional to 17,853.14, 24,636.93 and 9,895.29

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Solution

The fourth proportional to 17,853.14, 24,636.93 and 9,895.29 is: 13,655.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,853.14 : 24,636.93 = 9,895.29 : x
  2. Step 2: Convert to fraction form
    17,853.14/24,636.93 = 9,895.29/x
  3. Step 3: Cross multiply
    17,853.14x = 24,636.93 × 9,895.29
  4. Step 4: Simplify right side
    17,853.14x = 243,789,567.06
  5. Step 5: Solve for x
    x = 243,789,567.06/17,853.14
  6. Step 6: Final answer
    x = 13,655.28

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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.