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Finding the Fourth Proportional to 12,419.83, 18,624.27 and 6,575.07

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Solution

The fourth proportional to 12,419.83, 18,624.27 and 6,575.07 is: 9,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.83 : 18,624.27 = 6,575.07 : x
  2. Step 2: Convert to fraction form
    12,419.83/18,624.27 = 6,575.07/x
  3. Step 3: Cross multiply
    12,419.83x = 18,624.27 × 6,575.07
  4. Step 4: Simplify right side
    12,419.83x = 122,455,878.95
  5. Step 5: Solve for x
    x = 122,455,878.95/12,419.83
  6. Step 6: Final answer
    x = 9,859.71

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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.