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Finding the Fourth Proportional to 17,327, 23,913.60 and 9,774.88

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Solution

The fourth proportional to 17,327, 23,913.60 and 9,774.88 is: 13,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,327 : 23,913.60 = 9,774.88 : x
  2. Step 2: Convert to fraction form
    17,327/23,913.60 = 9,774.88/x
  3. Step 3: Cross multiply
    17,327x = 23,913.60 × 9,774.88
  4. Step 4: Simplify right side
    17,327x = 233,752,570.37
  5. Step 5: Solve for x
    x = 233,752,570.37/17,327
  6. Step 6: Final answer
    x = 13,490.65

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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.