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Finding the Fourth Proportional to 20,770.59, 28,664 and 11,339.76

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Solution

The fourth proportional to 20,770.59, 28,664 and 11,339.76 is: 15,649.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,770.59 : 28,664 = 11,339.76 : x
  2. Step 2: Convert to fraction form
    20,770.59/28,664 = 11,339.76/x
  3. Step 3: Cross multiply
    20,770.59x = 28,664 × 11,339.76
  4. Step 4: Simplify right side
    20,770.59x = 325,042,880.64
  5. Step 5: Solve for x
    x = 325,042,880.64/20,770.59
  6. Step 6: Final answer
    x = 15,649.19

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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.