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Finding the Fourth Proportional to 20,409.47, 28,165.06 and 11,456.99

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Solution

The fourth proportional to 20,409.47, 28,165.06 and 11,456.99 is: 15,810.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.47 : 28,165.06 = 11,456.99 : x
  2. Step 2: Convert to fraction form
    20,409.47/28,165.06 = 11,456.99/x
  3. Step 3: Cross multiply
    20,409.47x = 28,165.06 × 11,456.99
  4. Step 4: Simplify right side
    20,409.47x = 322,686,753.48
  5. Step 5: Solve for x
    x = 322,686,753.48/20,409.47
  6. Step 6: Final answer
    x = 15,810.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.