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Finding the Fourth Proportional to 19,858.68, 27,403.38 and 11,475.72

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Solution

The fourth proportional to 19,858.68, 27,403.38 and 11,475.72 is: 15,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.68 : 27,403.38 = 11,475.72 : x
  2. Step 2: Convert to fraction form
    19,858.68/27,403.38 = 11,475.72/x
  3. Step 3: Cross multiply
    19,858.68x = 27,403.38 × 11,475.72
  4. Step 4: Simplify right side
    19,858.68x = 314,473,515.93
  5. Step 5: Solve for x
    x = 314,473,515.93/19,858.68
  6. Step 6: Final answer
    x = 15,835.57

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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.