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Finding the Fourth Proportional to 19,244, 26,556.80 and 10,412

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Solution

The fourth proportional to 19,244, 26,556.80 and 10,412 is: 14,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,244 : 26,556.80 = 10,412 : x
  2. Step 2: Convert to fraction form
    19,244/26,556.80 = 10,412/x
  3. Step 3: Cross multiply
    19,244x = 26,556.80 × 10,412
  4. Step 4: Simplify right side
    19,244x = 276,509,401.60
  5. Step 5: Solve for x
    x = 276,509,401.60/19,244
  6. Step 6: Final answer
    x = 14,368.60

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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.