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Finding the Fourth Proportional to 24,383, 33,648.54 and 13,205

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Solution

The fourth proportional to 24,383, 33,648.54 and 13,205 is: 18,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383 : 33,648.54 = 13,205 : x
  2. Step 2: Convert to fraction form
    24,383/33,648.54 = 13,205/x
  3. Step 3: Cross multiply
    24,383x = 33,648.54 × 13,205
  4. Step 4: Simplify right side
    24,383x = 444,328,970.70
  5. Step 5: Solve for x
    x = 444,328,970.70/24,383
  6. Step 6: Final answer
    x = 18,222.90

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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.