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Finding the Fourth Proportional to 23,409.47, 35,106.90 and 7,823.45

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Solution

The fourth proportional to 23,409.47, 35,106.90 and 7,823.45 is: 11,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.47 : 35,106.90 = 7,823.45 : x
  2. Step 2: Convert to fraction form
    23,409.47/35,106.90 = 7,823.45/x
  3. Step 3: Cross multiply
    23,409.47x = 35,106.90 × 7,823.45
  4. Step 4: Simplify right side
    23,409.47x = 274,656,901.27
  5. Step 5: Solve for x
    x = 274,656,901.27/23,409.47
  6. Step 6: Final answer
    x = 11,732.73

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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.