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Finding the Fourth Proportional to 15,834.40, 23,726.40 and 8,429.20

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Solution

The fourth proportional to 15,834.40, 23,726.40 and 8,429.20 is: 12,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.40 : 23,726.40 = 8,429.20 : x
  2. Step 2: Convert to fraction form
    15,834.40/23,726.40 = 8,429.20/x
  3. Step 3: Cross multiply
    15,834.40x = 23,726.40 × 8,429.20
  4. Step 4: Simplify right side
    15,834.40x = 199,994,570.88
  5. Step 5: Solve for x
    x = 199,994,570.88/15,834.40
  6. Step 6: Final answer
    x = 12,630.39

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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.