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Finding the Fourth Proportional to 24,533.99, 33,858 and 13,924.61

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Solution

The fourth proportional to 24,533.99, 33,858 and 13,924.61 is: 19,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,533.99 : 33,858 = 13,924.61 : x
  2. Step 2: Convert to fraction form
    24,533.99/33,858 = 13,924.61/x
  3. Step 3: Cross multiply
    24,533.99x = 33,858 × 13,924.61
  4. Step 4: Simplify right side
    24,533.99x = 471,459,403.06
  5. Step 5: Solve for x
    x = 471,459,403.06/24,533.99
  6. Step 6: Final answer
    x = 19,216.58

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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.