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Finding the Fourth Proportional to 13,206.40, 18,454.40 and 13,206.40

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Solution

The fourth proportional to 13,206.40, 18,454.40 and 13,206.40 is: 18,454.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.40 : 18,454.40 = 13,206.40 : x
  2. Step 2: Convert to fraction form
    13,206.40/18,454.40 = 13,206.40/x
  3. Step 3: Cross multiply
    13,206.40x = 18,454.40 × 13,206.40
  4. Step 4: Simplify right side
    13,206.40x = 243,716,188.16
  5. Step 5: Solve for x
    x = 243,716,188.16/13,206.40
  6. Step 6: Final answer
    x = 18,454.40

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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.