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Finding the Fourth Proportional to 25,710.94, 38,571.23 and 11,671.95

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Solution

The fourth proportional to 25,710.94, 38,571.23 and 11,671.95 is: 17,510.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,710.94 : 38,571.23 = 11,671.95 : x
  2. Step 2: Convert to fraction form
    25,710.94/38,571.23 = 11,671.95/x
  3. Step 3: Cross multiply
    25,710.94x = 38,571.23 × 11,671.95
  4. Step 4: Simplify right side
    25,710.94x = 450,201,216.78
  5. Step 5: Solve for x
    x = 450,201,216.78/25,710.94
  6. Step 6: Final answer
    x = 17,510.11

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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.