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Finding the Fourth Proportional to 17,821.25, 24,599.81 and 10,369.25

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Solution

The fourth proportional to 17,821.25, 24,599.81 and 10,369.25 is: 14,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,821.25 : 24,599.81 = 10,369.25 : x
  2. Step 2: Convert to fraction form
    17,821.25/24,599.81 = 10,369.25/x
  3. Step 3: Cross multiply
    17,821.25x = 24,599.81 × 10,369.25
  4. Step 4: Simplify right side
    17,821.25x = 255,081,528.00
  5. Step 5: Solve for x
    x = 255,081,528.00/17,821.25
  6. Step 6: Final answer
    x = 14,313.34

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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.