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Finding the Fourth Proportional to 27,047.90, 40,571.84 and 10,184.07

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Solution

The fourth proportional to 27,047.90, 40,571.84 and 10,184.07 is: 15,276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.90 : 40,571.84 = 10,184.07 : x
  2. Step 2: Convert to fraction form
    27,047.90/40,571.84 = 10,184.07/x
  3. Step 3: Cross multiply
    27,047.90x = 40,571.84 × 10,184.07
  4. Step 4: Simplify right side
    27,047.90x = 413,186,407.67
  5. Step 5: Solve for x
    x = 413,186,407.67/27,047.90
  6. Step 6: Final answer
    x = 15,276.10

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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.