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Finding the Fourth Proportional to 13,830.24, 19,082.52 and 7,860.48

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Solution

The fourth proportional to 13,830.24, 19,082.52 and 7,860.48 is: 10,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.24 : 19,082.52 = 7,860.48 : x
  2. Step 2: Convert to fraction form
    13,830.24/19,082.52 = 7,860.48/x
  3. Step 3: Cross multiply
    13,830.24x = 19,082.52 × 7,860.48
  4. Step 4: Simplify right side
    13,830.24x = 149,997,766.81
  5. Step 5: Solve for x
    x = 149,997,766.81/13,830.24
  6. Step 6: Final answer
    x = 10,845.64

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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.