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Finding the Fourth Proportional to 16,389.60, 24,586.80 and 5,294.16

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Solution

The fourth proportional to 16,389.60, 24,586.80 and 5,294.16 is: 7,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,389.60 : 24,586.80 = 5,294.16 : x
  2. Step 2: Convert to fraction form
    16,389.60/24,586.80 = 5,294.16/x
  3. Step 3: Cross multiply
    16,389.60x = 24,586.80 × 5,294.16
  4. Step 4: Simplify right side
    16,389.60x = 130,166,453.09
  5. Step 5: Solve for x
    x = 130,166,453.09/16,389.60
  6. Step 6: Final answer
    x = 7,942.02

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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.