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Finding the Fourth Proportional to 24,384.51, 33,650.64 and 13,206.51

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Solution

The fourth proportional to 24,384.51, 33,650.64 and 13,206.51 is: 18,224.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.51 : 33,650.64 = 13,206.51 : x
  2. Step 2: Convert to fraction form
    24,384.51/33,650.64 = 13,206.51/x
  3. Step 3: Cross multiply
    24,384.51x = 33,650.64 × 13,206.51
  4. Step 4: Simplify right side
    24,384.51x = 444,407,513.67
  5. Step 5: Solve for x
    x = 444,407,513.67/24,384.51
  6. Step 6: Final answer
    x = 18,224.99

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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.