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Finding the Fourth Proportional to 29,260, 40,378.88 and 16,012

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Solution

The fourth proportional to 29,260, 40,378.88 and 16,012 is: 22,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,260 : 40,378.88 = 16,012 : x
  2. Step 2: Convert to fraction form
    29,260/40,378.88 = 16,012/x
  3. Step 3: Cross multiply
    29,260x = 40,378.88 × 16,012
  4. Step 4: Simplify right side
    29,260x = 646,546,626.56
  5. Step 5: Solve for x
    x = 646,546,626.56/29,260
  6. Step 6: Final answer
    x = 22,096.60

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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.