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Finding the Fourth Proportional to 19,762.25, 27,267.48 and 11,802.94

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Solution

The fourth proportional to 19,762.25, 27,267.48 and 11,802.94 is: 16,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.25 : 27,267.48 = 11,802.94 : x
  2. Step 2: Convert to fraction form
    19,762.25/27,267.48 = 11,802.94/x
  3. Step 3: Cross multiply
    19,762.25x = 27,267.48 × 11,802.94
  4. Step 4: Simplify right side
    19,762.25x = 321,836,362.22
  5. Step 5: Solve for x
    x = 321,836,362.22/19,762.25
  6. Step 6: Final answer
    x = 16,285.42

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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.