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Finding the Fourth Proportional to 34,007.63, 51,014.38 and 9,383.63

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Solution

The fourth proportional to 34,007.63, 51,014.38 and 9,383.63 is: 14,076.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,007.63 : 51,014.38 = 9,383.63 : x
  2. Step 2: Convert to fraction form
    34,007.63/51,014.38 = 9,383.63/x
  3. Step 3: Cross multiply
    34,007.63x = 51,014.38 × 9,383.63
  4. Step 4: Simplify right side
    34,007.63x = 478,699,788.07
  5. Step 5: Solve for x
    x = 478,699,788.07/34,007.63
  6. Step 6: Final answer
    x = 14,076.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.