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Finding the Fourth Proportional to 27,509.14, 41,263.68 and 9,973.18

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Solution

The fourth proportional to 27,509.14, 41,263.68 and 9,973.18 is: 14,959.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.14 : 41,263.68 = 9,973.18 : x
  2. Step 2: Convert to fraction form
    27,509.14/41,263.68 = 9,973.18/x
  3. Step 3: Cross multiply
    27,509.14x = 41,263.68 × 9,973.18
  4. Step 4: Simplify right side
    27,509.14x = 411,530,108.10
  5. Step 5: Solve for x
    x = 411,530,108.10/27,509.14
  6. Step 6: Final answer
    x = 14,959.76

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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.