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Finding the Fourth Proportional to 13,854.99, 20,783.10 and 5,085.12

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Solution

The fourth proportional to 13,854.99, 20,783.10 and 5,085.12 is: 7,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.99 : 20,783.10 = 5,085.12 : x
  2. Step 2: Convert to fraction form
    13,854.99/20,783.10 = 5,085.12/x
  3. Step 3: Cross multiply
    13,854.99x = 20,783.10 × 5,085.12
  4. Step 4: Simplify right side
    13,854.99x = 105,684,428.13
  5. Step 5: Solve for x
    x = 105,684,428.13/13,854.99
  6. Step 6: Final answer
    x = 7,627.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.