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Finding the Fourth Proportional to 12,856.41, 19,253.16 and 11,609.82

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Solution

The fourth proportional to 12,856.41, 19,253.16 and 11,609.82 is: 17,386.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.41 : 19,253.16 = 11,609.82 : x
  2. Step 2: Convert to fraction form
    12,856.41/19,253.16 = 11,609.82/x
  3. Step 3: Cross multiply
    12,856.41x = 19,253.16 × 11,609.82
  4. Step 4: Simplify right side
    12,856.41x = 223,525,722.03
  5. Step 5: Solve for x
    x = 223,525,722.03/12,856.41
  6. Step 6: Final answer
    x = 17,386.32

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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.