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Finding the Fourth Proportional to 20,984, 31,476.02 and 8,672.32

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Solution

The fourth proportional to 20,984, 31,476.02 and 8,672.32 is: 13,008.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 31,476.02 = 8,672.32 : x
  2. Step 2: Convert to fraction form
    20,984/31,476.02 = 8,672.32/x
  3. Step 3: Cross multiply
    20,984x = 31,476.02 × 8,672.32
  4. Step 4: Simplify right side
    20,984x = 272,970,117.77
  5. Step 5: Solve for x
    x = 272,970,117.77/20,984
  6. Step 6: Final answer
    x = 13,008.49

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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.