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Finding the Fourth Proportional to 23,146.07, 34,718.76 and 5,616.05

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Solution

The fourth proportional to 23,146.07, 34,718.76 and 5,616.05 is: 8,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.07 : 34,718.76 = 5,616.05 : x
  2. Step 2: Convert to fraction form
    23,146.07/34,718.76 = 5,616.05/x
  3. Step 3: Cross multiply
    23,146.07x = 34,718.76 × 5,616.05
  4. Step 4: Simplify right side
    23,146.07x = 194,982,118.50
  5. Step 5: Solve for x
    x = 194,982,118.50/23,146.07
  6. Step 6: Final answer
    x = 8,423.99

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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.