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Finding the Fourth Proportional to 19,886.50, 27,443.37 and 11,507.86

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Solution

The fourth proportional to 19,886.50, 27,443.37 and 11,507.86 is: 15,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,886.50 : 27,443.37 = 11,507.86 : x
  2. Step 2: Convert to fraction form
    19,886.50/27,443.37 = 11,507.86/x
  3. Step 3: Cross multiply
    19,886.50x = 27,443.37 × 11,507.86
  4. Step 4: Simplify right side
    19,886.50x = 315,814,459.89
  5. Step 5: Solve for x
    x = 315,814,459.89/19,886.50
  6. Step 6: Final answer
    x = 15,880.85

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