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Finding the Fourth Proportional to 24,769.86, 37,156.02 and 8,123.16

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Solution

The fourth proportional to 24,769.86, 37,156.02 and 8,123.16 is: 12,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,769.86 : 37,156.02 = 8,123.16 : x
  2. Step 2: Convert to fraction form
    24,769.86/37,156.02 = 8,123.16/x
  3. Step 3: Cross multiply
    24,769.86x = 37,156.02 × 8,123.16
  4. Step 4: Simplify right side
    24,769.86x = 301,824,295.42
  5. Step 5: Solve for x
    x = 301,824,295.42/24,769.86
  6. Step 6: Final answer
    x = 12,185.14

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1.5x scale

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.