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Finding the Fourth Proportional to 12,830.86, 19,252.67 and 7,205.03

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Solution

The fourth proportional to 12,830.86, 19,252.67 and 7,205.03 is: 10,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.86 : 19,252.67 = 7,205.03 : x
  2. Step 2: Convert to fraction form
    12,830.86/19,252.67 = 7,205.03/x
  3. Step 3: Cross multiply
    12,830.86x = 19,252.67 × 7,205.03
  4. Step 4: Simplify right side
    12,830.86x = 138,716,064.93
  5. Step 5: Solve for x
    x = 138,716,064.93/12,830.86
  6. Step 6: Final answer
    x = 10,811.13

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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.