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Finding the Fourth Proportional to 27,807.76, 38,379.72 and 17,739.24

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Solution

The fourth proportional to 27,807.76, 38,379.72 and 17,739.24 is: 24,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.76 : 38,379.72 = 17,739.24 : x
  2. Step 2: Convert to fraction form
    27,807.76/38,379.72 = 17,739.24/x
  3. Step 3: Cross multiply
    27,807.76x = 38,379.72 × 17,739.24
  4. Step 4: Simplify right side
    27,807.76x = 680,827,064.21
  5. Step 5: Solve for x
    x = 680,827,064.21/27,807.76
  6. Step 6: Final answer
    x = 24,483.35

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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.