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Finding the Fourth Proportional to 27,975.40, 42,011.70 and 14,853.40

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Solution

The fourth proportional to 27,975.40, 42,011.70 and 14,853.40 is: 22,305.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,975.40 : 42,011.70 = 14,853.40 : x
  2. Step 2: Convert to fraction form
    27,975.40/42,011.70 = 14,853.40/x
  3. Step 3: Cross multiply
    27,975.40x = 42,011.70 × 14,853.40
  4. Step 4: Simplify right side
    27,975.40x = 624,016,584.78
  5. Step 5: Solve for x
    x = 624,016,584.78/27,975.40
  6. Step 6: Final answer
    x = 22,305.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.