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Finding the Fourth Proportional to 15,806.50, 21,812.96 and 8,732.92

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Solution

The fourth proportional to 15,806.50, 21,812.96 and 8,732.92 is: 12,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.50 : 21,812.96 = 8,732.92 : x
  2. Step 2: Convert to fraction form
    15,806.50/21,812.96 = 8,732.92/x
  3. Step 3: Cross multiply
    15,806.50x = 21,812.96 × 8,732.92
  4. Step 4: Simplify right side
    15,806.50x = 190,490,834.64
  5. Step 5: Solve for x
    x = 190,490,834.64/15,806.50
  6. Step 6: Final answer
    x = 12,051.42

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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.