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Finding the Fourth Proportional to 13,029.40, 18,206.60 and 13,029.40

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Solution

The fourth proportional to 13,029.40, 18,206.60 and 13,029.40 is: 18,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.40 : 18,206.60 = 13,029.40 : x
  2. Step 2: Convert to fraction form
    13,029.40/18,206.60 = 13,029.40/x
  3. Step 3: Cross multiply
    13,029.40x = 18,206.60 × 13,029.40
  4. Step 4: Simplify right side
    13,029.40x = 237,221,074.04
  5. Step 5: Solve for x
    x = 237,221,074.04/13,029.40
  6. Step 6: Final answer
    x = 18,206.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.