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Finding the Fourth Proportional to 27,004.61, 40,511.71 and 9,237.24

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Solution

The fourth proportional to 27,004.61, 40,511.71 and 9,237.24 is: 13,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,004.61 : 40,511.71 = 9,237.24 : x
  2. Step 2: Convert to fraction form
    27,004.61/40,511.71 = 9,237.24/x
  3. Step 3: Cross multiply
    27,004.61x = 40,511.71 × 9,237.24
  4. Step 4: Simplify right side
    27,004.61x = 374,216,399.63
  5. Step 5: Solve for x
    x = 374,216,399.63/27,004.61
  6. Step 6: Final answer
    x = 13,857.50

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Why These Related Problems?

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