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Finding the Fourth Proportional to 13,698.14, 20,448.09 and 12,037.37

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Solution

The fourth proportional to 13,698.14, 20,448.09 and 12,037.37 is: 17,968.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.14 : 20,448.09 = 12,037.37 : x
  2. Step 2: Convert to fraction form
    13,698.14/20,448.09 = 12,037.37/x
  3. Step 3: Cross multiply
    13,698.14x = 20,448.09 × 12,037.37
  4. Step 4: Simplify right side
    13,698.14x = 246,141,225.12
  5. Step 5: Solve for x
    x = 246,141,225.12/13,698.14
  6. Step 6: Final answer
    x = 17,968.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.