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Finding the Fourth Proportional to 17,261.76, 23,821.10 and 9,809.76

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Solution

The fourth proportional to 17,261.76, 23,821.10 and 9,809.76 is: 13,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,261.76 : 23,821.10 = 9,809.76 : x
  2. Step 2: Convert to fraction form
    17,261.76/23,821.10 = 9,809.76/x
  3. Step 3: Cross multiply
    17,261.76x = 23,821.10 × 9,809.76
  4. Step 4: Simplify right side
    17,261.76x = 233,679,273.94
  5. Step 5: Solve for x
    x = 233,679,273.94/17,261.76
  6. Step 6: Final answer
    x = 13,537.40

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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.