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Finding the Fourth Proportional to 20,359.54, 30,539.31 and 9,964

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Solution

The fourth proportional to 20,359.54, 30,539.31 and 9,964 is: 14,946.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,359.54 : 30,539.31 = 9,964 : x
  2. Step 2: Convert to fraction form
    20,359.54/30,539.31 = 9,964/x
  3. Step 3: Cross multiply
    20,359.54x = 30,539.31 × 9,964
  4. Step 4: Simplify right side
    20,359.54x = 304,293,684.84
  5. Step 5: Solve for x
    x = 304,293,684.84/20,359.54
  6. Step 6: Final answer
    x = 14,946.00

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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.