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Finding the Fourth Proportional to 17,796.16, 24,559 and 10,344.16

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Solution

The fourth proportional to 17,796.16, 24,559 and 10,344.16 is: 14,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,796.16 : 24,559 = 10,344.16 : x
  2. Step 2: Convert to fraction form
    17,796.16/24,559 = 10,344.16/x
  3. Step 3: Cross multiply
    17,796.16x = 24,559 × 10,344.16
  4. Step 4: Simplify right side
    17,796.16x = 254,042,225.44
  5. Step 5: Solve for x
    x = 254,042,225.44/17,796.16
  6. Step 6: Final answer
    x = 14,275.11

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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.