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Finding the Fourth Proportional to 27,223.89, 40,838.16 and 7,502.46

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Solution

The fourth proportional to 27,223.89, 40,838.16 and 7,502.46 is: 11,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223.89 : 40,838.16 = 7,502.46 : x
  2. Step 2: Convert to fraction form
    27,223.89/40,838.16 = 7,502.46/x
  3. Step 3: Cross multiply
    27,223.89x = 40,838.16 × 7,502.46
  4. Step 4: Simplify right side
    27,223.89x = 306,386,661.87
  5. Step 5: Solve for x
    x = 306,386,661.87/27,223.89
  6. Step 6: Final answer
    x = 11,254.33

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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.