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Finding the Fourth Proportional to 16,075.92, 24,114.68 and 4,990.16

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Solution

The fourth proportional to 16,075.92, 24,114.68 and 4,990.16 is: 7,485.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.92 : 24,114.68 = 4,990.16 : x
  2. Step 2: Convert to fraction form
    16,075.92/24,114.68 = 4,990.16/x
  3. Step 3: Cross multiply
    16,075.92x = 24,114.68 × 4,990.16
  4. Step 4: Simplify right side
    16,075.92x = 120,336,111.55
  5. Step 5: Solve for x
    x = 120,336,111.55/16,075.92
  6. Step 6: Final answer
    x = 7,485.49

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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.