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Finding the Fourth Proportional to 23,528.77, 32,469.77 and 12,919.10

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Solution

The fourth proportional to 23,528.77, 32,469.77 and 12,919.10 is: 17,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,528.77 : 32,469.77 = 12,919.10 : x
  2. Step 2: Convert to fraction form
    23,528.77/32,469.77 = 12,919.10/x
  3. Step 3: Cross multiply
    23,528.77x = 32,469.77 × 12,919.10
  4. Step 4: Simplify right side
    23,528.77x = 419,480,075.56
  5. Step 5: Solve for x
    x = 419,480,075.56/23,528.77
  6. Step 6: Final answer
    x = 17,828.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.