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Finding the Fourth Proportional to 12,430.54, 17,162.38 and 9,554.15

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Solution

The fourth proportional to 12,430.54, 17,162.38 and 9,554.15 is: 13,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,430.54 : 17,162.38 = 9,554.15 : x
  2. Step 2: Convert to fraction form
    12,430.54/17,162.38 = 9,554.15/x
  3. Step 3: Cross multiply
    12,430.54x = 17,162.38 × 9,554.15
  4. Step 4: Simplify right side
    12,430.54x = 163,972,007.73
  5. Step 5: Solve for x
    x = 163,972,007.73/12,430.54
  6. Step 6: Final answer
    x = 13,191.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.