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Finding the Fourth Proportional to 12,653.34, 18,967.77 and 6,077.94

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Solution

The fourth proportional to 12,653.34, 18,967.77 and 6,077.94 is: 9,111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.34 : 18,967.77 = 6,077.94 : x
  2. Step 2: Convert to fraction form
    12,653.34/18,967.77 = 6,077.94/x
  3. Step 3: Cross multiply
    12,653.34x = 18,967.77 × 6,077.94
  4. Step 4: Simplify right side
    12,653.34x = 115,284,967.99
  5. Step 5: Solve for x
    x = 115,284,967.99/12,653.34
  6. Step 6: Final answer
    x = 9,111.03

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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.