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Finding the Fourth Proportional to 20,384.64, 28,129.48 and 11,432.08

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Solution

The fourth proportional to 20,384.64, 28,129.48 and 11,432.08 is: 15,775.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.64 : 28,129.48 = 11,432.08 : x
  2. Step 2: Convert to fraction form
    20,384.64/28,129.48 = 11,432.08/x
  3. Step 3: Cross multiply
    20,384.64x = 28,129.48 × 11,432.08
  4. Step 4: Simplify right side
    20,384.64x = 321,578,465.72
  5. Step 5: Solve for x
    x = 321,578,465.72/20,384.64
  6. Step 6: Final answer
    x = 15,775.53

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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.