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Finding the Fourth Proportional to 16,415.38, 24,626.40 and 7,056.34

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Solution

The fourth proportional to 16,415.38, 24,626.40 and 7,056.34 is: 10,585.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.38 : 24,626.40 = 7,056.34 : x
  2. Step 2: Convert to fraction form
    16,415.38/24,626.40 = 7,056.34/x
  3. Step 3: Cross multiply
    16,415.38x = 24,626.40 × 7,056.34
  4. Step 4: Simplify right side
    16,415.38x = 173,772,251.38
  5. Step 5: Solve for x
    x = 173,772,251.38/16,415.38
  6. Step 6: Final answer
    x = 10,585.94

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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.