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Finding the Fourth Proportional to 22,342.89, 30,847.64 and 13,854.03

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Solution

The fourth proportional to 22,342.89, 30,847.64 and 13,854.03 is: 19,127.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.89 : 30,847.64 = 13,854.03 : x
  2. Step 2: Convert to fraction form
    22,342.89/30,847.64 = 13,854.03/x
  3. Step 3: Cross multiply
    22,342.89x = 30,847.64 × 13,854.03
  4. Step 4: Simplify right side
    22,342.89x = 427,364,060.72
  5. Step 5: Solve for x
    x = 427,364,060.72/22,342.89
  6. Step 6: Final answer
    x = 19,127.52

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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.