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Finding the Fourth Proportional to 27,570.16, 38,046.80 and 14,994.88

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Solution

The fourth proportional to 27,570.16, 38,046.80 and 14,994.88 is: 20,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,570.16 : 38,046.80 = 14,994.88 : x
  2. Step 2: Convert to fraction form
    27,570.16/38,046.80 = 14,994.88/x
  3. Step 3: Cross multiply
    27,570.16x = 38,046.80 × 14,994.88
  4. Step 4: Simplify right side
    27,570.16x = 570,507,200.38
  5. Step 5: Solve for x
    x = 570,507,200.38/27,570.16
  6. Step 6: Final answer
    x = 20,692.92

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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.