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Finding the Fourth Proportional to 22,969.97, 31,696.27 and 14,019.67

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Solution

The fourth proportional to 22,969.97, 31,696.27 and 14,019.67 is: 19,345.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.97 : 31,696.27 = 14,019.67 : x
  2. Step 2: Convert to fraction form
    22,969.97/31,696.27 = 14,019.67/x
  3. Step 3: Cross multiply
    22,969.97x = 31,696.27 × 14,019.67
  4. Step 4: Simplify right side
    22,969.97x = 444,371,131.34
  5. Step 5: Solve for x
    x = 444,371,131.34/22,969.97
  6. Step 6: Final answer
    x = 19,345.75

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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.