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Finding the Fourth Proportional to 27,405, 37,818.90 and 14,829.84

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Solution

The fourth proportional to 27,405, 37,818.90 and 14,829.84 is: 20,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405 : 37,818.90 = 14,829.84 : x
  2. Step 2: Convert to fraction form
    27,405/37,818.90 = 14,829.84/x
  3. Step 3: Cross multiply
    27,405x = 37,818.90 × 14,829.84
  4. Step 4: Simplify right side
    27,405x = 560,848,235.98
  5. Step 5: Solve for x
    x = 560,848,235.98/27,405
  6. Step 6: Final answer
    x = 20,465.18

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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.