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Finding the Fourth Proportional to 27,980.94, 38,613.15 and 15,405.90

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Solution

The fourth proportional to 27,980.94, 38,613.15 and 15,405.90 is: 21,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.94 : 38,613.15 = 15,405.90 : x
  2. Step 2: Convert to fraction form
    27,980.94/38,613.15 = 15,405.90/x
  3. Step 3: Cross multiply
    27,980.94x = 38,613.15 × 15,405.90
  4. Step 4: Simplify right side
    27,980.94x = 594,870,327.59
  5. Step 5: Solve for x
    x = 594,870,327.59/27,980.94
  6. Step 6: Final answer
    x = 21,259.84

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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.