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Finding the Fourth Proportional to 22,969.90, 34,434.60 and 13,586.86

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Solution

The fourth proportional to 22,969.90, 34,434.60 and 13,586.86 is: 20,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,969.90 : 34,434.60 = 13,586.86 : x
  2. Step 2: Convert to fraction form
    22,969.90/34,434.60 = 13,586.86/x
  3. Step 3: Cross multiply
    22,969.90x = 34,434.60 × 13,586.86
  4. Step 4: Simplify right side
    22,969.90x = 467,858,089.36
  5. Step 5: Solve for x
    x = 467,858,089.36/22,969.90
  6. Step 6: Final answer
    x = 20,368.31

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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.