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Finding the Fourth Proportional to 15,878.81, 23,812.65 and 6,516.12

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Solution

The fourth proportional to 15,878.81, 23,812.65 and 6,516.12 is: 9,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.81 : 23,812.65 = 6,516.12 : x
  2. Step 2: Convert to fraction form
    15,878.81/23,812.65 = 6,516.12/x
  3. Step 3: Cross multiply
    15,878.81x = 23,812.65 × 6,516.12
  4. Step 4: Simplify right side
    15,878.81x = 155,166,084.92
  5. Step 5: Solve for x
    x = 155,166,084.92/15,878.81
  6. Step 6: Final answer
    x = 9,771.90

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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.