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Finding the Fourth Proportional to 25,190, 34,762.41 and 14,012

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Solution

The fourth proportional to 25,190, 34,762.41 and 14,012 is: 19,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,190 : 34,762.41 = 14,012 : x
  2. Step 2: Convert to fraction form
    25,190/34,762.41 = 14,012/x
  3. Step 3: Cross multiply
    25,190x = 34,762.41 × 14,012
  4. Step 4: Simplify right side
    25,190x = 487,090,818.86
  5. Step 5: Solve for x
    x = 487,090,818.86/25,190
  6. Step 6: Final answer
    x = 19,336.67

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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.