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Finding the Fourth Proportional to 17,477.97, 24,119.47 and 9,520.17

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Solution

The fourth proportional to 17,477.97, 24,119.47 and 9,520.17 is: 13,137.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,477.97 : 24,119.47 = 9,520.17 : x
  2. Step 2: Convert to fraction form
    17,477.97/24,119.47 = 9,520.17/x
  3. Step 3: Cross multiply
    17,477.97x = 24,119.47 × 9,520.17
  4. Step 4: Simplify right side
    17,477.97x = 229,621,454.71
  5. Step 5: Solve for x
    x = 229,621,454.71/17,477.97
  6. Step 6: Final answer
    x = 13,137.76

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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.