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Finding the Fourth Proportional to 27,405.96, 37,820.30 and 14,830.71

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Solution

The fourth proportional to 27,405.96, 37,820.30 and 14,830.71 is: 20,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.96 : 37,820.30 = 14,830.71 : x
  2. Step 2: Convert to fraction form
    27,405.96/37,820.30 = 14,830.71/x
  3. Step 3: Cross multiply
    27,405.96x = 37,820.30 × 14,830.71
  4. Step 4: Simplify right side
    27,405.96x = 560,901,827.26
  5. Step 5: Solve for x
    x = 560,901,827.26/27,405.96
  6. Step 6: Final answer
    x = 20,466.42

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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.