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Finding the Fourth Proportional to 24,368.64, 33,630.80 and 13,760.80

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Solution

The fourth proportional to 24,368.64, 33,630.80 and 13,760.80 is: 18,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,368.64 : 33,630.80 = 13,760.80 : x
  2. Step 2: Convert to fraction form
    24,368.64/33,630.80 = 13,760.80/x
  3. Step 3: Cross multiply
    24,368.64x = 33,630.80 × 13,760.80
  4. Step 4: Simplify right side
    24,368.64x = 462,786,712.64
  5. Step 5: Solve for x
    x = 462,786,712.64/24,368.64
  6. Step 6: Final answer
    x = 18,991.08

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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.