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Finding the Fourth Proportional to 15,968.35, 22,038.89 and 9,257.86

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Solution

The fourth proportional to 15,968.35, 22,038.89 and 9,257.86 is: 12,777.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,968.35 : 22,038.89 = 9,257.86 : x
  2. Step 2: Convert to fraction form
    15,968.35/22,038.89 = 9,257.86/x
  3. Step 3: Cross multiply
    15,968.35x = 22,038.89 × 9,257.86
  4. Step 4: Simplify right side
    15,968.35x = 204,032,958.18
  5. Step 5: Solve for x
    x = 204,032,958.18/15,968.35
  6. Step 6: Final answer
    x = 12,777.34

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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.