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Finding the Fourth Proportional to 15,960.56, 23,925.20 and 5,958

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Solution

The fourth proportional to 15,960.56, 23,925.20 and 5,958 is: 8,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960.56 : 23,925.20 = 5,958 : x
  2. Step 2: Convert to fraction form
    15,960.56/23,925.20 = 5,958/x
  3. Step 3: Cross multiply
    15,960.56x = 23,925.20 × 5,958
  4. Step 4: Simplify right side
    15,960.56x = 142,546,311.81
  5. Step 5: Solve for x
    x = 142,546,311.81/15,960.56
  6. Step 6: Final answer
    x = 8,931.16

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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.