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Finding the Fourth Proportional to 14,563.59, 20,097.70 and 8,277.18

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Solution

The fourth proportional to 14,563.59, 20,097.70 and 8,277.18 is: 11,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.59 : 20,097.70 = 8,277.18 : x
  2. Step 2: Convert to fraction form
    14,563.59/20,097.70 = 8,277.18/x
  3. Step 3: Cross multiply
    14,563.59x = 20,097.70 × 8,277.18
  4. Step 4: Simplify right side
    14,563.59x = 166,352,280.49
  5. Step 5: Solve for x
    x = 166,352,280.49/14,563.59
  6. Step 6: Final answer
    x = 11,422.48

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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.