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Finding the Fourth Proportional to 24,393.90, 33,664.02 and 13,783.70

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Solution

The fourth proportional to 24,393.90, 33,664.02 and 13,783.70 is: 19,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393.90 : 33,664.02 = 13,783.70 : x
  2. Step 2: Convert to fraction form
    24,393.90/33,664.02 = 13,783.70/x
  3. Step 3: Cross multiply
    24,393.90x = 33,664.02 × 13,783.70
  4. Step 4: Simplify right side
    24,393.90x = 464,014,752.47
  5. Step 5: Solve for x
    x = 464,014,752.47/24,393.90
  6. Step 6: Final answer
    x = 19,021.75

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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.