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Finding the Fourth Proportional to 27,765.86, 38,319.08 and 17,698.77

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Solution

The fourth proportional to 27,765.86, 38,319.08 and 17,698.77 is: 24,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765.86 : 38,319.08 = 17,698.77 : x
  2. Step 2: Convert to fraction form
    27,765.86/38,319.08 = 17,698.77/x
  3. Step 3: Cross multiply
    27,765.86x = 38,319.08 × 17,698.77
  4. Step 4: Simplify right side
    27,765.86x = 678,200,495.04
  5. Step 5: Solve for x
    x = 678,200,495.04/27,765.86
  6. Step 6: Final answer
    x = 24,425.70

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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.