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Finding the Fourth Proportional to 14,069.25, 19,416.17 and 7,781.63

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Solution

The fourth proportional to 14,069.25, 19,416.17 and 7,781.63 is: 10,738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,069.25 : 19,416.17 = 7,781.63 : x
  2. Step 2: Convert to fraction form
    14,069.25/19,416.17 = 7,781.63/x
  3. Step 3: Cross multiply
    14,069.25x = 19,416.17 × 7,781.63
  4. Step 4: Simplify right side
    14,069.25x = 151,089,373.33
  5. Step 5: Solve for x
    x = 151,089,373.33/14,069.25
  6. Step 6: Final answer
    x = 10,738.98

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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.