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Finding the Fourth Proportional to 20,458.56, 28,232.85 and 11,506.08

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Solution

The fourth proportional to 20,458.56, 28,232.85 and 11,506.08 is: 15,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458.56 : 28,232.85 = 11,506.08 : x
  2. Step 2: Convert to fraction form
    20,458.56/28,232.85 = 11,506.08/x
  3. Step 3: Cross multiply
    20,458.56x = 28,232.85 × 11,506.08
  4. Step 4: Simplify right side
    20,458.56x = 324,849,430.73
  5. Step 5: Solve for x
    x = 324,849,430.73/20,458.56
  6. Step 6: Final answer
    x = 15,878.41

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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.