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Finding the Fourth Proportional to 15,920.68, 21,970.38 and 8,846.95

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Solution

The fourth proportional to 15,920.68, 21,970.38 and 8,846.95 is: 12,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.68 : 21,970.38 = 8,846.95 : x
  2. Step 2: Convert to fraction form
    15,920.68/21,970.38 = 8,846.95/x
  3. Step 3: Cross multiply
    15,920.68x = 21,970.38 × 8,846.95
  4. Step 4: Simplify right side
    15,920.68x = 194,370,853.34
  5. Step 5: Solve for x
    x = 194,370,853.34/15,920.68
  6. Step 6: Final answer
    x = 12,208.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.