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Finding the Fourth Proportional to 15,774.70, 23,641.95 and 8,382.70

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Solution

The fourth proportional to 15,774.70, 23,641.95 and 8,382.70 is: 12,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,774.70 : 23,641.95 = 8,382.70 : x
  2. Step 2: Convert to fraction form
    15,774.70/23,641.95 = 8,382.70/x
  3. Step 3: Cross multiply
    15,774.70x = 23,641.95 × 8,382.70
  4. Step 4: Simplify right side
    15,774.70x = 198,183,374.27
  5. Step 5: Solve for x
    x = 198,183,374.27/15,774.70
  6. Step 6: Final answer
    x = 12,563.37

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1.5x scale

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.