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Finding the Fourth Proportional to 15,873.70, 23,812.32 and 6,513.34

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Solution

The fourth proportional to 15,873.70, 23,812.32 and 6,513.34 is: 9,770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,873.70 : 23,812.32 = 6,513.34 : x
  2. Step 2: Convert to fraction form
    15,873.70/23,812.32 = 6,513.34/x
  3. Step 3: Cross multiply
    15,873.70x = 23,812.32 × 6,513.34
  4. Step 4: Simplify right side
    15,873.70x = 155,097,736.35
  5. Step 5: Solve for x
    x = 155,097,736.35/15,873.70
  6. Step 6: Final answer
    x = 9,770.74

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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.