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Finding the Fourth Proportional to 20,732, 28,629.60 and 14,461.76

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Solution

The fourth proportional to 20,732, 28,629.60 and 14,461.76 is: 19,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,732 : 28,629.60 = 14,461.76 : x
  2. Step 2: Convert to fraction form
    20,732/28,629.60 = 14,461.76/x
  3. Step 3: Cross multiply
    20,732x = 28,629.60 × 14,461.76
  4. Step 4: Simplify right side
    20,732x = 414,034,404.10
  5. Step 5: Solve for x
    x = 414,034,404.10/20,732
  6. Step 6: Final answer
    x = 19,970.79

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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.