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Finding the Fourth Proportional to 15,960.64, 23,937.36 and 6,096.40

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Solution

The fourth proportional to 15,960.64, 23,937.36 and 6,096.40 is: 9,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960.64 : 23,937.36 = 6,096.40 : x
  2. Step 2: Convert to fraction form
    15,960.64/23,937.36 = 6,096.40/x
  3. Step 3: Cross multiply
    15,960.64x = 23,937.36 × 6,096.40
  4. Step 4: Simplify right side
    15,960.64x = 145,931,721.50
  5. Step 5: Solve for x
    x = 145,931,721.50/15,960.64
  6. Step 6: Final answer
    x = 9,143.22

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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.