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Finding the Fourth Proportional to 27,421.76, 41,124.14 and 9,889.31

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Solution

The fourth proportional to 27,421.76, 41,124.14 and 9,889.31 is: 14,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,421.76 : 41,124.14 = 9,889.31 : x
  2. Step 2: Convert to fraction form
    27,421.76/41,124.14 = 9,889.31/x
  3. Step 3: Cross multiply
    27,421.76x = 41,124.14 × 9,889.31
  4. Step 4: Simplify right side
    27,421.76x = 406,689,422.31
  5. Step 5: Solve for x
    x = 406,689,422.31/27,421.76
  6. Step 6: Final answer
    x = 14,830.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.