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Finding the Fourth Proportional to 20,885.34, 31,326.58 and 9,794.50

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Solution

The fourth proportional to 20,885.34, 31,326.58 and 9,794.50 is: 14,691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.34 : 31,326.58 = 9,794.50 : x
  2. Step 2: Convert to fraction form
    20,885.34/31,326.58 = 9,794.50/x
  3. Step 3: Cross multiply
    20,885.34x = 31,326.58 × 9,794.50
  4. Step 4: Simplify right side
    20,885.34x = 306,828,187.81
  5. Step 5: Solve for x
    x = 306,828,187.81/20,885.34
  6. Step 6: Final answer
    x = 14,691.08

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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.