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Finding the Fourth Proportional to 16,806.96, 23,193.23 and 9,253

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Solution

The fourth proportional to 16,806.96, 23,193.23 and 9,253 is: 12,768.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806.96 : 23,193.23 = 9,253 : x
  2. Step 2: Convert to fraction form
    16,806.96/23,193.23 = 9,253/x
  3. Step 3: Cross multiply
    16,806.96x = 23,193.23 × 9,253
  4. Step 4: Simplify right side
    16,806.96x = 214,606,957.19
  5. Step 5: Solve for x
    x = 214,606,957.19/16,806.96
  6. Step 6: Final answer
    x = 12,768.93

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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.