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Finding the Fourth Proportional to 14,325.72, 19,771.50 and 8,038.50

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Solution

The fourth proportional to 14,325.72, 19,771.50 and 8,038.50 is: 11,094.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.72 : 19,771.50 = 8,038.50 : x
  2. Step 2: Convert to fraction form
    14,325.72/19,771.50 = 8,038.50/x
  3. Step 3: Cross multiply
    14,325.72x = 19,771.50 × 8,038.50
  4. Step 4: Simplify right side
    14,325.72x = 158,933,202.75
  5. Step 5: Solve for x
    x = 158,933,202.75/14,325.72
  6. Step 6: Final answer
    x = 11,094.26

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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.