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Finding the Fourth Proportional to 16,075.80, 24,121.80 and 7,316.46

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Solution

The fourth proportional to 16,075.80, 24,121.80 and 7,316.46 is: 10,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.80 : 24,121.80 = 7,316.46 : x
  2. Step 2: Convert to fraction form
    16,075.80/24,121.80 = 7,316.46/x
  3. Step 3: Cross multiply
    16,075.80x = 24,121.80 × 7,316.46
  4. Step 4: Simplify right side
    16,075.80x = 176,486,184.83
  5. Step 5: Solve for x
    x = 176,486,184.83/16,075.80
  6. Step 6: Final answer
    x = 10,978.38

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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.