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Finding the Fourth Proportional to 25,193.70, 37,802.70 and 17,782.20

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Solution

The fourth proportional to 25,193.70, 37,802.70 and 17,782.20 is: 26,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.70 : 37,802.70 = 17,782.20 : x
  2. Step 2: Convert to fraction form
    25,193.70/37,802.70 = 17,782.20/x
  3. Step 3: Cross multiply
    25,193.70x = 37,802.70 × 17,782.20
  4. Step 4: Simplify right side
    25,193.70x = 672,215,171.94
  5. Step 5: Solve for x
    x = 672,215,171.94/25,193.70
  6. Step 6: Final answer
    x = 26,681.88

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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.