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Finding the Fourth Proportional to 23,133, 31,923.54 and 13,197

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Solution

The fourth proportional to 23,133, 31,923.54 and 13,197 is: 18,211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133 : 31,923.54 = 13,197 : x
  2. Step 2: Convert to fraction form
    23,133/31,923.54 = 13,197/x
  3. Step 3: Cross multiply
    23,133x = 31,923.54 × 13,197
  4. Step 4: Simplify right side
    23,133x = 421,294,957.38
  5. Step 5: Solve for x
    x = 421,294,957.38/23,133
  6. Step 6: Final answer
    x = 18,211.86

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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.