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Finding the Fourth Proportional to 15,628.86, 23,427.09 and 9,772.02

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Solution

The fourth proportional to 15,628.86, 23,427.09 and 9,772.02 is: 14,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,628.86 : 23,427.09 = 9,772.02 : x
  2. Step 2: Convert to fraction form
    15,628.86/23,427.09 = 9,772.02/x
  3. Step 3: Cross multiply
    15,628.86x = 23,427.09 × 9,772.02
  4. Step 4: Simplify right side
    15,628.86x = 228,929,992.02
  5. Step 5: Solve for x
    x = 228,929,992.02/15,628.86
  6. Step 6: Final answer
    x = 14,647.90

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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.