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Finding the Fourth Proportional to 12,322.40, 18,503.40 and 11,412.80

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Solution

The fourth proportional to 12,322.40, 18,503.40 and 11,412.80 is: 17,137.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.40 : 18,503.40 = 11,412.80 : x
  2. Step 2: Convert to fraction form
    12,322.40/18,503.40 = 11,412.80/x
  3. Step 3: Cross multiply
    12,322.40x = 18,503.40 × 11,412.80
  4. Step 4: Simplify right side
    12,322.40x = 211,175,603.52
  5. Step 5: Solve for x
    x = 211,175,603.52/12,322.40
  6. Step 6: Final answer
    x = 17,137.54

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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.