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Finding the Fourth Proportional to 22,094.64, 30,491.64 and 13,025.07

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Solution

The fourth proportional to 22,094.64, 30,491.64 and 13,025.07 is: 17,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,094.64 : 30,491.64 = 13,025.07 : x
  2. Step 2: Convert to fraction form
    22,094.64/30,491.64 = 13,025.07/x
  3. Step 3: Cross multiply
    22,094.64x = 30,491.64 × 13,025.07
  4. Step 4: Simplify right side
    22,094.64x = 397,155,745.41
  5. Step 5: Solve for x
    x = 397,155,745.41/22,094.64
  6. Step 6: Final answer
    x = 17,975.21

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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.