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Finding the Fourth Proportional to 20,564.89, 30,857.15 and 9,470.32

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Solution

The fourth proportional to 20,564.89, 30,857.15 and 9,470.32 is: 14,210.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.89 : 30,857.15 = 9,470.32 : x
  2. Step 2: Convert to fraction form
    20,564.89/30,857.15 = 9,470.32/x
  3. Step 3: Cross multiply
    20,564.89x = 30,857.15 × 9,470.32
  4. Step 4: Simplify right side
    20,564.89x = 292,227,031.32
  5. Step 5: Solve for x
    x = 292,227,031.32/20,564.89
  6. Step 6: Final answer
    x = 14,210.00

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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.