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Finding the Fourth Proportional to 13,813.94, 19,059.90 and 9,033.32

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Solution

The fourth proportional to 13,813.94, 19,059.90 and 9,033.32 is: 12,463.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.94 : 19,059.90 = 9,033.32 : x
  2. Step 2: Convert to fraction form
    13,813.94/19,059.90 = 9,033.32/x
  3. Step 3: Cross multiply
    13,813.94x = 19,059.90 × 9,033.32
  4. Step 4: Simplify right side
    13,813.94x = 172,174,175.87
  5. Step 5: Solve for x
    x = 172,174,175.87/13,813.94
  6. Step 6: Final answer
    x = 12,463.80

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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.