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Finding the Fourth Proportional to 17,654.88, 24,364.16 and 9,697.28

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Solution

The fourth proportional to 17,654.88, 24,364.16 and 9,697.28 is: 13,382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.88 : 24,364.16 = 9,697.28 : x
  2. Step 2: Convert to fraction form
    17,654.88/24,364.16 = 9,697.28/x
  3. Step 3: Cross multiply
    17,654.88x = 24,364.16 × 9,697.28
  4. Step 4: Simplify right side
    17,654.88x = 236,265,911.18
  5. Step 5: Solve for x
    x = 236,265,911.18/17,654.88
  6. Step 6: Final answer
    x = 13,382.47

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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.