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Finding the Fourth Proportional to 13,871.16, 19,140.70 and 8,206.12

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Solution

The fourth proportional to 13,871.16, 19,140.70 and 8,206.12 is: 11,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.16 : 19,140.70 = 8,206.12 : x
  2. Step 2: Convert to fraction form
    13,871.16/19,140.70 = 8,206.12/x
  3. Step 3: Cross multiply
    13,871.16x = 19,140.70 × 8,206.12
  4. Step 4: Simplify right side
    13,871.16x = 157,070,881.08
  5. Step 5: Solve for x
    x = 157,070,881.08/13,871.16
  6. Step 6: Final answer
    x = 11,323.56

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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.