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Finding the Fourth Proportional to 20,648.32, 28,494.80 and 11,216.96

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Solution

The fourth proportional to 20,648.32, 28,494.80 and 11,216.96 is: 15,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,648.32 : 28,494.80 = 11,216.96 : x
  2. Step 2: Convert to fraction form
    20,648.32/28,494.80 = 11,216.96/x
  3. Step 3: Cross multiply
    20,648.32x = 28,494.80 × 11,216.96
  4. Step 4: Simplify right side
    20,648.32x = 319,625,031.81
  5. Step 5: Solve for x
    x = 319,625,031.81/20,648.32
  6. Step 6: Final answer
    x = 15,479.47

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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.