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Finding the Fourth Proportional to 17,924.99, 24,737.10 and 9,859.25

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Solution

The fourth proportional to 17,924.99, 24,737.10 and 9,859.25 is: 13,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,924.99 : 24,737.10 = 9,859.25 : x
  2. Step 2: Convert to fraction form
    17,924.99/24,737.10 = 9,859.25/x
  3. Step 3: Cross multiply
    17,924.99x = 24,737.10 × 9,859.25
  4. Step 4: Simplify right side
    17,924.99x = 243,889,129.49
  5. Step 5: Solve for x
    x = 243,889,129.49/17,924.99
  6. Step 6: Final answer
    x = 13,606.10

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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.