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Finding the Fourth Proportional to 27,223.61, 40,835.61 and 7,503.26

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Solution

The fourth proportional to 27,223.61, 40,835.61 and 7,503.26 is: 11,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223.61 : 40,835.61 = 7,503.26 : x
  2. Step 2: Convert to fraction form
    27,223.61/40,835.61 = 7,503.26/x
  3. Step 3: Cross multiply
    27,223.61x = 40,835.61 × 7,503.26
  4. Step 4: Simplify right side
    27,223.61x = 306,399,994.91
  5. Step 5: Solve for x
    x = 306,399,994.91/27,223.61
  6. Step 6: Final answer
    x = 11,254.94

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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.