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Finding the Fourth Proportional to 17,772.64, 24,525.64 and 11,056.80

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Solution

The fourth proportional to 17,772.64, 24,525.64 and 11,056.80 is: 15,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.64 : 24,525.64 = 11,056.80 : x
  2. Step 2: Convert to fraction form
    17,772.64/24,525.64 = 11,056.80/x
  3. Step 3: Cross multiply
    17,772.64x = 24,525.64 × 11,056.80
  4. Step 4: Simplify right side
    17,772.64x = 271,175,096.35
  5. Step 5: Solve for x
    x = 271,175,096.35/17,772.64
  6. Step 6: Final answer
    x = 15,258.01

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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.