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Finding the Fourth Proportional to 27,503.64, 41,255.46 and 9,973.47

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Solution

The fourth proportional to 27,503.64, 41,255.46 and 9,973.47 is: 14,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,503.64 : 41,255.46 = 9,973.47 : x
  2. Step 2: Convert to fraction form
    27,503.64/41,255.46 = 9,973.47/x
  3. Step 3: Cross multiply
    27,503.64x = 41,255.46 × 9,973.47
  4. Step 4: Simplify right side
    27,503.64x = 411,460,092.65
  5. Step 5: Solve for x
    x = 411,460,092.65/27,503.64
  6. Step 6: Final answer
    x = 14,960.21

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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.