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Finding the Fourth Proportional to 12,281.40, 18,422.10 and 10,823.40

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Solution

The fourth proportional to 12,281.40, 18,422.10 and 10,823.40 is: 16,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.40 : 18,422.10 = 10,823.40 : x
  2. Step 2: Convert to fraction form
    12,281.40/18,422.10 = 10,823.40/x
  3. Step 3: Cross multiply
    12,281.40x = 18,422.10 × 10,823.40
  4. Step 4: Simplify right side
    12,281.40x = 199,389,757.14
  5. Step 5: Solve for x
    x = 199,389,757.14/12,281.40
  6. Step 6: Final answer
    x = 16,235.10

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1.5x scale

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.