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Finding the Fourth Proportional to 20,392.34, 30,562.59 and 9,305.06

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Solution

The fourth proportional to 20,392.34, 30,562.59 and 9,305.06 is: 13,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,392.34 : 30,562.59 = 9,305.06 : x
  2. Step 2: Convert to fraction form
    20,392.34/30,562.59 = 9,305.06/x
  3. Step 3: Cross multiply
    20,392.34x = 30,562.59 × 9,305.06
  4. Step 4: Simplify right side
    20,392.34x = 284,386,733.71
  5. Step 5: Solve for x
    x = 284,386,733.71/20,392.34
  6. Step 6: Final answer
    x = 13,945.76

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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.