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Finding the Fourth Proportional to 14,256.86, 19,673.67 and 7,883.09

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Solution

The fourth proportional to 14,256.86, 19,673.67 and 7,883.09 is: 10,878.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.86 : 19,673.67 = 7,883.09 : x
  2. Step 2: Convert to fraction form
    14,256.86/19,673.67 = 7,883.09/x
  3. Step 3: Cross multiply
    14,256.86x = 19,673.67 × 7,883.09
  4. Step 4: Simplify right side
    14,256.86x = 155,089,242.43
  5. Step 5: Solve for x
    x = 155,089,242.43/14,256.86
  6. Step 6: Final answer
    x = 10,878.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.