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Finding the Fourth Proportional to 21,352.01, 32,024.97 and 13,430.36

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Solution

The fourth proportional to 21,352.01, 32,024.97 and 13,430.36 is: 20,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,352.01 : 32,024.97 = 13,430.36 : x
  2. Step 2: Convert to fraction form
    21,352.01/32,024.97 = 13,430.36/x
  3. Step 3: Cross multiply
    21,352.01x = 32,024.97 × 13,430.36
  4. Step 4: Simplify right side
    21,352.01x = 430,106,876.09
  5. Step 5: Solve for x
    x = 430,106,876.09/21,352.01
  6. Step 6: Final answer
    x = 20,143.62

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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.