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Finding the Fourth Proportional to 19,878.61, 27,434.37 and 11,381.40

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Solution

The fourth proportional to 19,878.61, 27,434.37 and 11,381.40 is: 15,707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.61 : 27,434.37 = 11,381.40 : x
  2. Step 2: Convert to fraction form
    19,878.61/27,434.37 = 11,381.40/x
  3. Step 3: Cross multiply
    19,878.61x = 27,434.37 × 11,381.40
  4. Step 4: Simplify right side
    19,878.61x = 312,241,538.72
  5. Step 5: Solve for x
    x = 312,241,538.72/19,878.61
  6. Step 6: Final answer
    x = 15,707.42

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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.