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Finding the Fourth Proportional to 26,822, 37,015 and 15,046

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Solution

The fourth proportional to 26,822, 37,015 and 15,046 is: 20,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822 : 37,015 = 15,046 : x
  2. Step 2: Convert to fraction form
    26,822/37,015 = 15,046/x
  3. Step 3: Cross multiply
    26,822x = 37,015 × 15,046
  4. Step 4: Simplify right side
    26,822x = 556,927,690
  5. Step 5: Solve for x
    x = 556,927,690/26,822
  6. Step 6: Final answer
    x = 20,763.84

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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.