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Finding the Fourth Proportional to 27,551.44, 38,022 and 14,977.12

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Solution

The fourth proportional to 27,551.44, 38,022 and 14,977.12 is: 20,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,551.44 : 38,022 = 14,977.12 : x
  2. Step 2: Convert to fraction form
    27,551.44/38,022 = 14,977.12/x
  3. Step 3: Cross multiply
    27,551.44x = 38,022 × 14,977.12
  4. Step 4: Simplify right side
    27,551.44x = 569,460,056.64
  5. Step 5: Solve for x
    x = 569,460,056.64/27,551.44
  6. Step 6: Final answer
    x = 20,668.98

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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.