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Finding the Fourth Proportional to 13,003.36, 19,505.52 and 6,076

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Solution

The fourth proportional to 13,003.36, 19,505.52 and 6,076 is: 9,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.36 : 19,505.52 = 6,076 : x
  2. Step 2: Convert to fraction form
    13,003.36/19,505.52 = 6,076/x
  3. Step 3: Cross multiply
    13,003.36x = 19,505.52 × 6,076
  4. Step 4: Simplify right side
    13,003.36x = 118,515,539.52
  5. Step 5: Solve for x
    x = 118,515,539.52/13,003.36
  6. Step 6: Final answer
    x = 9,114.22

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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.