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Finding the Fourth Proportional to 21,389.85, 32,005.31 and 13,455.31

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Solution

The fourth proportional to 21,389.85, 32,005.31 and 13,455.31 is: 20,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,389.85 : 32,005.31 = 13,455.31 : x
  2. Step 2: Convert to fraction form
    21,389.85/32,005.31 = 13,455.31/x
  3. Step 3: Cross multiply
    21,389.85x = 32,005.31 × 13,455.31
  4. Step 4: Simplify right side
    21,389.85x = 430,641,367.70
  5. Step 5: Solve for x
    x = 430,641,367.70/21,389.85
  6. Step 6: Final answer
    x = 20,132.98

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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.