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Finding the Fourth Proportional to 12,501.54, 18,761.22 and 9,223.20

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Solution

The fourth proportional to 12,501.54, 18,761.22 and 9,223.20 is: 13,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,501.54 : 18,761.22 = 9,223.20 : x
  2. Step 2: Convert to fraction form
    12,501.54/18,761.22 = 9,223.20/x
  3. Step 3: Cross multiply
    12,501.54x = 18,761.22 × 9,223.20
  4. Step 4: Simplify right side
    12,501.54x = 173,038,484.30
  5. Step 5: Solve for x
    x = 173,038,484.30/12,501.54
  6. Step 6: Final answer
    x = 13,841.37

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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.