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Finding the Fourth Proportional to 16,307.80, 24,449.72 and 5,208.10

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Solution

The fourth proportional to 16,307.80, 24,449.72 and 5,208.10 is: 7,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.80 : 24,449.72 = 5,208.10 : x
  2. Step 2: Convert to fraction form
    16,307.80/24,449.72 = 5,208.10/x
  3. Step 3: Cross multiply
    16,307.80x = 24,449.72 × 5,208.10
  4. Step 4: Simplify right side
    16,307.80x = 127,336,499.57
  5. Step 5: Solve for x
    x = 127,336,499.57/16,307.80
  6. Step 6: Final answer
    x = 7,808.32

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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.