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Finding the Fourth Proportional to 15,225.86, 22,850.33 and 6,466.92

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Solution

The fourth proportional to 15,225.86, 22,850.33 and 6,466.92 is: 9,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,225.86 : 22,850.33 = 6,466.92 : x
  2. Step 2: Convert to fraction form
    15,225.86/22,850.33 = 6,466.92/x
  3. Step 3: Cross multiply
    15,225.86x = 22,850.33 × 6,466.92
  4. Step 4: Simplify right side
    15,225.86x = 147,771,223.75
  5. Step 5: Solve for x
    x = 147,771,223.75/15,225.86
  6. Step 6: Final answer
    x = 9,705.28

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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.