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Finding the Fourth Proportional to 14,469.93, 19,971.62 and 8,806.50

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Solution

The fourth proportional to 14,469.93, 19,971.62 and 8,806.50 is: 12,154.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.93 : 19,971.62 = 8,806.50 : x
  2. Step 2: Convert to fraction form
    14,469.93/19,971.62 = 8,806.50/x
  3. Step 3: Cross multiply
    14,469.93x = 19,971.62 × 8,806.50
  4. Step 4: Simplify right side
    14,469.93x = 175,880,010.54
  5. Step 5: Solve for x
    x = 175,880,010.54/14,469.93
  6. Step 6: Final answer
    x = 12,154.86

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1.5x scale

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.