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Finding the Fourth Proportional to 12,434.64, 18,652.14 and 6,923.01

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Solution

The fourth proportional to 12,434.64, 18,652.14 and 6,923.01 is: 10,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.64 : 18,652.14 = 6,923.01 : x
  2. Step 2: Convert to fraction form
    12,434.64/18,652.14 = 6,923.01/x
  3. Step 3: Cross multiply
    12,434.64x = 18,652.14 × 6,923.01
  4. Step 4: Simplify right side
    12,434.64x = 129,128,951.74
  5. Step 5: Solve for x
    x = 129,128,951.74/12,434.64
  6. Step 6: Final answer
    x = 10,384.62

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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.