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Finding the Fourth Proportional to 23,059.64, 31,824.12 and 13,630.01

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Solution

The fourth proportional to 23,059.64, 31,824.12 and 13,630.01 is: 18,810.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059.64 : 31,824.12 = 13,630.01 : x
  2. Step 2: Convert to fraction form
    23,059.64/31,824.12 = 13,630.01/x
  3. Step 3: Cross multiply
    23,059.64x = 31,824.12 × 13,630.01
  4. Step 4: Simplify right side
    23,059.64x = 433,763,073.84
  5. Step 5: Solve for x
    x = 433,763,073.84/23,059.64
  6. Step 6: Final answer
    x = 18,810.49

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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.