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Finding the Fourth Proportional to 19,201.50, 28,802.26 and 8,257.50

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Solution

The fourth proportional to 19,201.50, 28,802.26 and 8,257.50 is: 12,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.50 : 28,802.26 = 8,257.50 : x
  2. Step 2: Convert to fraction form
    19,201.50/28,802.26 = 8,257.50/x
  3. Step 3: Cross multiply
    19,201.50x = 28,802.26 × 8,257.50
  4. Step 4: Simplify right side
    19,201.50x = 237,834,661.95
  5. Step 5: Solve for x
    x = 237,834,661.95/19,201.50
  6. Step 6: Final answer
    x = 12,386.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.