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Finding the Fourth Proportional to 13,430.81, 20,153.61 and 6,505.31

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Solution

The fourth proportional to 13,430.81, 20,153.61 and 6,505.31 is: 9,761.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.81 : 20,153.61 = 6,505.31 : x
  2. Step 2: Convert to fraction form
    13,430.81/20,153.61 = 6,505.31/x
  3. Step 3: Cross multiply
    13,430.81x = 20,153.61 × 6,505.31
  4. Step 4: Simplify right side
    13,430.81x = 131,105,531.05
  5. Step 5: Solve for x
    x = 131,105,531.05/13,430.81
  6. Step 6: Final answer
    x = 9,761.55

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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.