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Finding the Fourth Proportional to 13,833.54, 19,089.15 and 7,701.45

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Solution

The fourth proportional to 13,833.54, 19,089.15 and 7,701.45 is: 10,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.54 : 19,089.15 = 7,701.45 : x
  2. Step 2: Convert to fraction form
    13,833.54/19,089.15 = 7,701.45/x
  3. Step 3: Cross multiply
    13,833.54x = 19,089.15 × 7,701.45
  4. Step 4: Simplify right side
    13,833.54x = 147,014,134.27
  5. Step 5: Solve for x
    x = 147,014,134.27/13,833.54
  6. Step 6: Final answer
    x = 10,627.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.