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Finding the Fourth Proportional to 13,607.70, 20,407.70 and 5,285.94

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Solution

The fourth proportional to 13,607.70, 20,407.70 and 5,285.94 is: 7,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.70 : 20,407.70 = 5,285.94 : x
  2. Step 2: Convert to fraction form
    13,607.70/20,407.70 = 5,285.94/x
  3. Step 3: Cross multiply
    13,607.70x = 20,407.70 × 5,285.94
  4. Step 4: Simplify right side
    13,607.70x = 107,873,851.31
  5. Step 5: Solve for x
    x = 107,873,851.31/13,607.70
  6. Step 6: Final answer
    x = 7,927.41

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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.