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Finding the Fourth Proportional to 12,563.10, 18,844.65 and 7,314.30

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Solution

The fourth proportional to 12,563.10, 18,844.65 and 7,314.30 is: 10,971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.10 : 18,844.65 = 7,314.30 : x
  2. Step 2: Convert to fraction form
    12,563.10/18,844.65 = 7,314.30/x
  3. Step 3: Cross multiply
    12,563.10x = 18,844.65 × 7,314.30
  4. Step 4: Simplify right side
    12,563.10x = 137,835,423.50
  5. Step 5: Solve for x
    x = 137,835,423.50/12,563.10
  6. Step 6: Final answer
    x = 10,971.45

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Why These Related Problems?

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