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Finding the Fourth Proportional to 25,762.84, 38,587.17 and 19,795.80

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Solution

The fourth proportional to 25,762.84, 38,587.17 and 19,795.80 is: 29,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,762.84 : 38,587.17 = 19,795.80 : x
  2. Step 2: Convert to fraction form
    25,762.84/38,587.17 = 19,795.80/x
  3. Step 3: Cross multiply
    25,762.84x = 38,587.17 × 19,795.80
  4. Step 4: Simplify right side
    25,762.84x = 763,863,899.89
  5. Step 5: Solve for x
    x = 763,863,899.89/25,762.84
  6. Step 6: Final answer
    x = 29,649.83

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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.