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Finding the Fourth Proportional to 18,815.24, 25,963.60 and 10,316

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Solution

The fourth proportional to 18,815.24, 25,963.60 and 10,316 is: 14,235.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,815.24 : 25,963.60 = 10,316 : x
  2. Step 2: Convert to fraction form
    18,815.24/25,963.60 = 10,316/x
  3. Step 3: Cross multiply
    18,815.24x = 25,963.60 × 10,316
  4. Step 4: Simplify right side
    18,815.24x = 267,840,497.60
  5. Step 5: Solve for x
    x = 267,840,497.60/18,815.24
  6. Step 6: Final answer
    x = 14,235.30

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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.