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Finding the Fourth Proportional to 16,076.24, 24,075.24 and 11,132

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Solution

The fourth proportional to 16,076.24, 24,075.24 and 11,132 is: 16,670.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,076.24 : 24,075.24 = 11,132 : x
  2. Step 2: Convert to fraction form
    16,076.24/24,075.24 = 11,132/x
  3. Step 3: Cross multiply
    16,076.24x = 24,075.24 × 11,132
  4. Step 4: Simplify right side
    16,076.24x = 268,005,571.68
  5. Step 5: Solve for x
    x = 268,005,571.68/16,076.24
  6. Step 6: Final answer
    x = 16,670.91

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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.