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Finding the Fourth Proportional to 15,800.90, 23,705.74 and 6,914.64

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Solution

The fourth proportional to 15,800.90, 23,705.74 and 6,914.64 is: 10,373.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.90 : 23,705.74 = 6,914.64 : x
  2. Step 2: Convert to fraction form
    15,800.90/23,705.74 = 6,914.64/x
  3. Step 3: Cross multiply
    15,800.90x = 23,705.74 × 6,914.64
  4. Step 4: Simplify right side
    15,800.90x = 163,916,504.93
  5. Step 5: Solve for x
    x = 163,916,504.93/15,800.90
  6. Step 6: Final answer
    x = 10,373.87

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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.