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Finding the Fourth Proportional to 13,830.35, 19,085.22 and 7,861.35

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Solution

The fourth proportional to 13,830.35, 19,085.22 and 7,861.35 is: 10,848.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.35 : 19,085.22 = 7,861.35 : x
  2. Step 2: Convert to fraction form
    13,830.35/19,085.22 = 7,861.35/x
  3. Step 3: Cross multiply
    13,830.35x = 19,085.22 × 7,861.35
  4. Step 4: Simplify right side
    13,830.35x = 150,035,665.82
  5. Step 5: Solve for x
    x = 150,035,665.82/13,830.35
  6. Step 6: Final answer
    x = 10,848.30

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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.