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Finding the Fourth Proportional to 13,012.94, 19,512.01 and 4,126.63

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Solution

The fourth proportional to 13,012.94, 19,512.01 and 4,126.63 is: 6,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,012.94 : 19,512.01 = 4,126.63 : x
  2. Step 2: Convert to fraction form
    13,012.94/19,512.01 = 4,126.63/x
  3. Step 3: Cross multiply
    13,012.94x = 19,512.01 × 4,126.63
  4. Step 4: Simplify right side
    13,012.94x = 80,518,845.83
  5. Step 5: Solve for x
    x = 80,518,845.83/13,012.94
  6. Step 6: Final answer
    x = 6,187.60

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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.