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Finding the Fourth Proportional to 12,837.45, 19,287.29 and 12,129.40

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Solution

The fourth proportional to 12,837.45, 19,287.29 and 12,129.40 is: 18,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.45 : 19,287.29 = 12,129.40 : x
  2. Step 2: Convert to fraction form
    12,837.45/19,287.29 = 12,129.40/x
  3. Step 3: Cross multiply
    12,837.45x = 19,287.29 × 12,129.40
  4. Step 4: Simplify right side
    12,837.45x = 233,943,255.33
  5. Step 5: Solve for x
    x = 233,943,255.33/12,837.45
  6. Step 6: Final answer
    x = 18,223.50

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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.