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Finding the Fourth Proportional to 16,256.89, 22,420.47 and 10,589.50

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Solution

The fourth proportional to 16,256.89, 22,420.47 and 10,589.50 is: 14,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,256.89 : 22,420.47 = 10,589.50 : x
  2. Step 2: Convert to fraction form
    16,256.89/22,420.47 = 10,589.50/x
  3. Step 3: Cross multiply
    16,256.89x = 22,420.47 × 10,589.50
  4. Step 4: Simplify right side
    16,256.89x = 237,421,567.07
  5. Step 5: Solve for x
    x = 237,421,567.07/16,256.89
  6. Step 6: Final answer
    x = 14,604.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.