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Finding the Fourth Proportional to 15,956.65, 23,933.15 and 6,095.71

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Solution

The fourth proportional to 15,956.65, 23,933.15 and 6,095.71 is: 9,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,956.65 : 23,933.15 = 6,095.71 : x
  2. Step 2: Convert to fraction form
    15,956.65/23,933.15 = 6,095.71/x
  3. Step 3: Cross multiply
    15,956.65x = 23,933.15 × 6,095.71
  4. Step 4: Simplify right side
    15,956.65x = 145,889,541.79
  5. Step 5: Solve for x
    x = 145,889,541.79/15,956.65
  6. Step 6: Final answer
    x = 9,142.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.