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Finding the Fourth Proportional to 12,603.66, 18,853.50 and 10,357.19

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Solution

The fourth proportional to 12,603.66, 18,853.50 and 10,357.19 is: 15,493.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.66 : 18,853.50 = 10,357.19 : x
  2. Step 2: Convert to fraction form
    12,603.66/18,853.50 = 10,357.19/x
  3. Step 3: Cross multiply
    12,603.66x = 18,853.50 × 10,357.19
  4. Step 4: Simplify right side
    12,603.66x = 195,269,281.67
  5. Step 5: Solve for x
    x = 195,269,281.67/12,603.66
  6. Step 6: Final answer
    x = 15,493.06

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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.