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Finding the Fourth Proportional to 13,089.09, 19,644.03 and 6,851.01

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Solution

The fourth proportional to 13,089.09, 19,644.03 and 6,851.01 is: 10,281.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.09 : 19,644.03 = 6,851.01 : x
  2. Step 2: Convert to fraction form
    13,089.09/19,644.03 = 6,851.01/x
  3. Step 3: Cross multiply
    13,089.09x = 19,644.03 × 6,851.01
  4. Step 4: Simplify right side
    13,089.09x = 134,581,445.97
  5. Step 5: Solve for x
    x = 134,581,445.97/13,089.09
  6. Step 6: Final answer
    x = 10,281.96

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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.