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Finding the Fourth Proportional to 17,358, 23,953.92 and 9,400.21

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Solution

The fourth proportional to 17,358, 23,953.92 and 9,400.21 is: 12,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,358 : 23,953.92 = 9,400.21 : x
  2. Step 2: Convert to fraction form
    17,358/23,953.92 = 9,400.21/x
  3. Step 3: Cross multiply
    17,358x = 23,953.92 × 9,400.21
  4. Step 4: Simplify right side
    17,358x = 225,171,878.32
  5. Step 5: Solve for x
    x = 225,171,878.32/17,358
  6. Step 6: Final answer
    x = 12,972.22

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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.