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Finding the Fourth Proportional to 21,823.53, 32,706.89 and 9,806.77

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Solution

The fourth proportional to 21,823.53, 32,706.89 and 9,806.77 is: 14,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.53 : 32,706.89 = 9,806.77 : x
  2. Step 2: Convert to fraction form
    21,823.53/32,706.89 = 9,806.77/x
  3. Step 3: Cross multiply
    21,823.53x = 32,706.89 × 9,806.77
  4. Step 4: Simplify right side
    21,823.53x = 320,748,976.27
  5. Step 5: Solve for x
    x = 320,748,976.27/21,823.53
  6. Step 6: Final answer
    x = 14,697.39

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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.