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Finding the Fourth Proportional to 23,238.01, 32,069.01 and 13,806.64

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Solution

The fourth proportional to 23,238.01, 32,069.01 and 13,806.64 is: 19,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.01 : 32,069.01 = 13,806.64 : x
  2. Step 2: Convert to fraction form
    23,238.01/32,069.01 = 13,806.64/x
  3. Step 3: Cross multiply
    23,238.01x = 32,069.01 × 13,806.64
  4. Step 4: Simplify right side
    23,238.01x = 442,765,276.23
  5. Step 5: Solve for x
    x = 442,765,276.23/23,238.01
  6. Step 6: Final answer
    x = 19,053.49

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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.