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Finding the Fourth Proportional to 23,694.70, 32,698.47 and 13,084.10

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Solution

The fourth proportional to 23,694.70, 32,698.47 and 13,084.10 is: 18,055.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.70 : 32,698.47 = 13,084.10 : x
  2. Step 2: Convert to fraction form
    23,694.70/32,698.47 = 13,084.10/x
  3. Step 3: Cross multiply
    23,694.70x = 32,698.47 × 13,084.10
  4. Step 4: Simplify right side
    23,694.70x = 427,830,243.45
  5. Step 5: Solve for x
    x = 427,830,243.45/23,694.70
  6. Step 6: Final answer
    x = 18,055.95

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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.