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Finding the Fourth Proportional to 18,724.26, 25,838.90 and 10,226.25

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Solution

The fourth proportional to 18,724.26, 25,838.90 and 10,226.25 is: 14,111.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,724.26 : 25,838.90 = 10,226.25 : x
  2. Step 2: Convert to fraction form
    18,724.26/25,838.90 = 10,226.25/x
  3. Step 3: Cross multiply
    18,724.26x = 25,838.90 × 10,226.25
  4. Step 4: Simplify right side
    18,724.26x = 264,235,038.34
  5. Step 5: Solve for x
    x = 264,235,038.34/18,724.26
  6. Step 6: Final answer
    x = 14,111.91

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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.