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Finding the Fourth Proportional to 18,893.25, 26,072.69 and 10,509.75

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Solution

The fourth proportional to 18,893.25, 26,072.69 and 10,509.75 is: 14,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,893.25 : 26,072.69 = 10,509.75 : x
  2. Step 2: Convert to fraction form
    18,893.25/26,072.69 = 10,509.75/x
  3. Step 3: Cross multiply
    18,893.25x = 26,072.69 × 10,509.75
  4. Step 4: Simplify right side
    18,893.25x = 274,017,401.18
  5. Step 5: Solve for x
    x = 274,017,401.18/18,893.25
  6. Step 6: Final answer
    x = 14,503.46

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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.