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Finding the Fourth Proportional to 14,602.46, 20,144.37 and 9,564.50

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Solution

The fourth proportional to 14,602.46, 20,144.37 and 9,564.50 is: 13,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602.46 : 20,144.37 = 9,564.50 : x
  2. Step 2: Convert to fraction form
    14,602.46/20,144.37 = 9,564.50/x
  3. Step 3: Cross multiply
    14,602.46x = 20,144.37 × 9,564.50
  4. Step 4: Simplify right side
    14,602.46x = 192,670,826.87
  5. Step 5: Solve for x
    x = 192,670,826.87/14,602.46
  6. Step 6: Final answer
    x = 13,194.41

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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.