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Finding the Fourth Proportional to 20,823.35, 31,248.86 and 9,730.90

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Solution

The fourth proportional to 20,823.35, 31,248.86 and 9,730.90 is: 14,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823.35 : 31,248.86 = 9,730.90 : x
  2. Step 2: Convert to fraction form
    20,823.35/31,248.86 = 9,730.90/x
  3. Step 3: Cross multiply
    20,823.35x = 31,248.86 × 9,730.90
  4. Step 4: Simplify right side
    20,823.35x = 304,079,326.88
  5. Step 5: Solve for x
    x = 304,079,326.88/20,823.35
  6. Step 6: Final answer
    x = 14,602.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.