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Finding the Fourth Proportional to 27,509.39, 41,266.81 and 9,980.58

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Solution

The fourth proportional to 27,509.39, 41,266.81 and 9,980.58 is: 14,971.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.39 : 41,266.81 = 9,980.58 : x
  2. Step 2: Convert to fraction form
    27,509.39/41,266.81 = 9,980.58/x
  3. Step 3: Cross multiply
    27,509.39x = 41,266.81 × 9,980.58
  4. Step 4: Simplify right side
    27,509.39x = 411,866,698.55
  5. Step 5: Solve for x
    x = 411,866,698.55/27,509.39
  6. Step 6: Final answer
    x = 14,971.86

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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.