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Finding the Fourth Proportional to 24,797.85, 37,206.34 and 19,765.01

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Solution

The fourth proportional to 24,797.85, 37,206.34 and 19,765.01 is: 29,655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.85 : 37,206.34 = 19,765.01 : x
  2. Step 2: Convert to fraction form
    24,797.85/37,206.34 = 19,765.01/x
  3. Step 3: Cross multiply
    24,797.85x = 37,206.34 × 19,765.01
  4. Step 4: Simplify right side
    24,797.85x = 735,383,725.77
  5. Step 5: Solve for x
    x = 735,383,725.77/24,797.85
  6. Step 6: Final answer
    x = 29,655.14

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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.