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Finding the Fourth Proportional to 24,267.60, 33,486.90 and 13,657

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Solution

The fourth proportional to 24,267.60, 33,486.90 and 13,657 is: 18,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,267.60 : 33,486.90 = 13,657 : x
  2. Step 2: Convert to fraction form
    24,267.60/33,486.90 = 13,657/x
  3. Step 3: Cross multiply
    24,267.60x = 33,486.90 × 13,657
  4. Step 4: Simplify right side
    24,267.60x = 457,330,593.30
  5. Step 5: Solve for x
    x = 457,330,593.30/24,267.60
  6. Step 6: Final answer
    x = 18,845.32

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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.