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Finding the Fourth Proportional to 19,438.66, 26,838.26 and 14,954.50

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Solution

The fourth proportional to 19,438.66, 26,838.26 and 14,954.50 is: 20,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,438.66 : 26,838.26 = 14,954.50 : x
  2. Step 2: Convert to fraction form
    19,438.66/26,838.26 = 14,954.50/x
  3. Step 3: Cross multiply
    19,438.66x = 26,838.26 × 14,954.50
  4. Step 4: Simplify right side
    19,438.66x = 401,352,673.38
  5. Step 5: Solve for x
    x = 401,352,673.38/19,438.66
  6. Step 6: Final answer
    x = 20,647.14

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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.