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Finding the Fourth Proportional to 16,389.84, 24,574.32 and 7,627.44

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Solution

The fourth proportional to 16,389.84, 24,574.32 and 7,627.44 is: 11,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.84 : 24,574.32 = 7,627.44 : x
  2. Step 2: Convert to fraction form
    16,389.84/24,574.32 = 7,627.44/x
  3. Step 3: Cross multiply
    16,389.84x = 24,574.32 × 7,627.44
  4. Step 4: Simplify right side
    16,389.84x = 187,439,151.34
  5. Step 5: Solve for x
    x = 187,439,151.34/16,389.84
  6. Step 6: Final answer
    x = 11,436.30

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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.