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Finding the Fourth Proportional to 12,906.40, 19,316.40 and 9,018.40

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Solution

The fourth proportional to 12,906.40, 19,316.40 and 9,018.40 is: 13,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.40 : 19,316.40 = 9,018.40 : x
  2. Step 2: Convert to fraction form
    12,906.40/19,316.40 = 9,018.40/x
  3. Step 3: Cross multiply
    12,906.40x = 19,316.40 × 9,018.40
  4. Step 4: Simplify right side
    12,906.40x = 174,203,021.76
  5. Step 5: Solve for x
    x = 174,203,021.76/12,906.40
  6. Step 6: Final answer
    x = 13,497.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.