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Finding the Fourth Proportional to 21,973.20, 32,959.80 and 19,438.80

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Solution

The fourth proportional to 21,973.20, 32,959.80 and 19,438.80 is: 29,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.20 : 32,959.80 = 19,438.80 : x
  2. Step 2: Convert to fraction form
    21,973.20/32,959.80 = 19,438.80/x
  3. Step 3: Cross multiply
    21,973.20x = 32,959.80 × 19,438.80
  4. Step 4: Simplify right side
    21,973.20x = 640,698,960.24
  5. Step 5: Solve for x
    x = 640,698,960.24/21,973.20
  6. Step 6: Final answer
    x = 29,158.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.