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Finding the Fourth Proportional to 17,473.88, 24,113.14 and 9,919.22

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Solution

The fourth proportional to 17,473.88, 24,113.14 and 9,919.22 is: 13,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,473.88 : 24,113.14 = 9,919.22 : x
  2. Step 2: Convert to fraction form
    17,473.88/24,113.14 = 9,919.22/x
  3. Step 3: Cross multiply
    17,473.88x = 24,113.14 × 9,919.22
  4. Step 4: Simplify right side
    17,473.88x = 239,183,395.19
  5. Step 5: Solve for x
    x = 239,183,395.19/17,473.88
  6. Step 6: Final answer
    x = 13,688.05

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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.