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Finding the Fourth Proportional to 16,298.54, 24,463.58 and 7,870.96

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Solution

The fourth proportional to 16,298.54, 24,463.58 and 7,870.96 is: 11,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.54 : 24,463.58 = 7,870.96 : x
  2. Step 2: Convert to fraction form
    16,298.54/24,463.58 = 7,870.96/x
  3. Step 3: Cross multiply
    16,298.54x = 24,463.58 × 7,870.96
  4. Step 4: Simplify right side
    16,298.54x = 192,551,757.00
  5. Step 5: Solve for x
    x = 192,551,757.00/16,298.54
  6. Step 6: Final answer
    x = 11,814.05

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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.