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Finding the Fourth Proportional to 15,461.50, 23,192.31 and 6,574.54

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Solution

The fourth proportional to 15,461.50, 23,192.31 and 6,574.54 is: 9,861.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,461.50 : 23,192.31 = 6,574.54 : x
  2. Step 2: Convert to fraction form
    15,461.50/23,192.31 = 6,574.54/x
  3. Step 3: Cross multiply
    15,461.50x = 23,192.31 × 6,574.54
  4. Step 4: Simplify right side
    15,461.50x = 152,478,769.79
  5. Step 5: Solve for x
    x = 152,478,769.79/15,461.50
  6. Step 6: Final answer
    x = 9,861.84

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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.