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Finding the Fourth Proportional to 16,387.47, 24,581.22 and 4,075.47

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Solution

The fourth proportional to 16,387.47, 24,581.22 and 4,075.47 is: 6,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,387.47 : 24,581.22 = 4,075.47 : x
  2. Step 2: Convert to fraction form
    16,387.47/24,581.22 = 4,075.47/x
  3. Step 3: Cross multiply
    16,387.47x = 24,581.22 × 4,075.47
  4. Step 4: Simplify right side
    16,387.47x = 100,180,024.67
  5. Step 5: Solve for x
    x = 100,180,024.67/16,387.47
  6. Step 6: Final answer
    x = 6,113.21

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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.