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Finding the Fourth Proportional to 15,632.60, 23,406.37 and 8,221.10

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Solution

The fourth proportional to 15,632.60, 23,406.37 and 8,221.10 is: 12,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,632.60 : 23,406.37 = 8,221.10 : x
  2. Step 2: Convert to fraction form
    15,632.60/23,406.37 = 8,221.10/x
  3. Step 3: Cross multiply
    15,632.60x = 23,406.37 × 8,221.10
  4. Step 4: Simplify right side
    15,632.60x = 192,425,970.82
  5. Step 5: Solve for x
    x = 192,425,970.82/15,632.60
  6. Step 6: Final answer
    x = 12,309.28

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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.