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Finding the Fourth Proportional to 16,075.98, 24,084 and 9,482.58

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Solution

The fourth proportional to 16,075.98, 24,084 and 9,482.58 is: 14,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.98 : 24,084 = 9,482.58 : x
  2. Step 2: Convert to fraction form
    16,075.98/24,084 = 9,482.58/x
  3. Step 3: Cross multiply
    16,075.98x = 24,084 × 9,482.58
  4. Step 4: Simplify right side
    16,075.98x = 228,378,456.72
  5. Step 5: Solve for x
    x = 228,378,456.72/16,075.98
  6. Step 6: Final answer
    x = 14,206.19

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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.