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Finding the Fourth Proportional to 13,830.87, 19,085.85 and 7,861.71

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Solution

The fourth proportional to 13,830.87, 19,085.85 and 7,861.71 is: 10,848.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.87 : 19,085.85 = 7,861.71 : x
  2. Step 2: Convert to fraction form
    13,830.87/19,085.85 = 7,861.71/x
  3. Step 3: Cross multiply
    13,830.87x = 19,085.85 × 7,861.71
  4. Step 4: Simplify right side
    13,830.87x = 150,047,417.80
  5. Step 5: Solve for x
    x = 150,047,417.80/13,830.87
  6. Step 6: Final answer
    x = 10,848.73

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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.