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Finding the Fourth Proportional to 25,806.99, 38,648.14 and 14,679.95

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Solution

The fourth proportional to 25,806.99, 38,648.14 and 14,679.95 is: 21,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.99 : 38,648.14 = 14,679.95 : x
  2. Step 2: Convert to fraction form
    25,806.99/38,648.14 = 14,679.95/x
  3. Step 3: Cross multiply
    25,806.99x = 38,648.14 × 14,679.95
  4. Step 4: Simplify right side
    25,806.99x = 567,352,762.79
  5. Step 5: Solve for x
    x = 567,352,762.79/25,806.99
  6. Step 6: Final answer
    x = 21,984.46

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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.