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Finding the Fourth Proportional to 16,269.98, 24,338.14 and 12,989.48

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Solution

The fourth proportional to 16,269.98, 24,338.14 and 12,989.48 is: 19,430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.98 : 24,338.14 = 12,989.48 : x
  2. Step 2: Convert to fraction form
    16,269.98/24,338.14 = 12,989.48/x
  3. Step 3: Cross multiply
    16,269.98x = 24,338.14 × 12,989.48
  4. Step 4: Simplify right side
    16,269.98x = 316,139,782.77
  5. Step 5: Solve for x
    x = 316,139,782.77/16,269.98
  6. Step 6: Final answer
    x = 19,430.86

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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.