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Finding the Fourth Proportional to 27,574.08, 38,051.12 and 14,998.88

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Solution

The fourth proportional to 27,574.08, 38,051.12 and 14,998.88 is: 20,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574.08 : 38,051.12 = 14,998.88 : x
  2. Step 2: Convert to fraction form
    27,574.08/38,051.12 = 14,998.88/x
  3. Step 3: Cross multiply
    27,574.08x = 38,051.12 × 14,998.88
  4. Step 4: Simplify right side
    27,574.08x = 570,724,182.75
  5. Step 5: Solve for x
    x = 570,724,182.75/27,574.08
  6. Step 6: Final answer
    x = 20,697.85

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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.