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Finding the Fourth Proportional to 13,812.06, 20,617.88 and 12,784.14

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Solution

The fourth proportional to 13,812.06, 20,617.88 and 12,784.14 is: 19,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.06 : 20,617.88 = 12,784.14 : x
  2. Step 2: Convert to fraction form
    13,812.06/20,617.88 = 12,784.14/x
  3. Step 3: Cross multiply
    13,812.06x = 20,617.88 × 12,784.14
  4. Step 4: Simplify right side
    13,812.06x = 263,581,800.50
  5. Step 5: Solve for x
    x = 263,581,800.50/13,812.06
  6. Step 6: Final answer
    x = 19,083.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.