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Finding the Fourth Proportional to 16,200.98, 24,303.63 and 7,205.12

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Solution

The fourth proportional to 16,200.98, 24,303.63 and 7,205.12 is: 10,808.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.98 : 24,303.63 = 7,205.12 : x
  2. Step 2: Convert to fraction form
    16,200.98/24,303.63 = 7,205.12/x
  3. Step 3: Cross multiply
    16,200.98x = 24,303.63 × 7,205.12
  4. Step 4: Simplify right side
    16,200.98x = 175,110,449.07
  5. Step 5: Solve for x
    x = 175,110,449.07/16,200.98
  6. Step 6: Final answer
    x = 10,808.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.