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Finding the Fourth Proportional to 20,595.48, 30,898.41 and 9,509.94

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Solution

The fourth proportional to 20,595.48, 30,898.41 and 9,509.94 is: 14,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,595.48 : 30,898.41 = 9,509.94 : x
  2. Step 2: Convert to fraction form
    20,595.48/30,898.41 = 9,509.94/x
  3. Step 3: Cross multiply
    20,595.48x = 30,898.41 × 9,509.94
  4. Step 4: Simplify right side
    20,595.48x = 293,842,025.20
  5. Step 5: Solve for x
    x = 293,842,025.20/20,595.48
  6. Step 6: Final answer
    x = 14,267.31

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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.