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Finding the Fourth Proportional to 12,322.74, 18,493.02 and 4,929.26

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Solution

The fourth proportional to 12,322.74, 18,493.02 and 4,929.26 is: 7,397.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.74 : 18,493.02 = 4,929.26 : x
  2. Step 2: Convert to fraction form
    12,322.74/18,493.02 = 4,929.26/x
  3. Step 3: Cross multiply
    12,322.74x = 18,493.02 × 4,929.26
  4. Step 4: Simplify right side
    12,322.74x = 91,156,903.77
  5. Step 5: Solve for x
    x = 91,156,903.77/12,322.74
  6. Step 6: Final answer
    x = 7,397.45

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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.