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Finding the Fourth Proportional to 12,830.40, 19,391.40 and 12,830.40

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Solution

The fourth proportional to 12,830.40, 19,391.40 and 12,830.40 is: 19,391.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.40 : 19,391.40 = 12,830.40 : x
  2. Step 2: Convert to fraction form
    12,830.40/19,391.40 = 12,830.40/x
  3. Step 3: Cross multiply
    12,830.40x = 19,391.40 × 12,830.40
  4. Step 4: Simplify right side
    12,830.40x = 248,799,418.56
  5. Step 5: Solve for x
    x = 248,799,418.56/12,830.40
  6. Step 6: Final answer
    x = 19,391.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.