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Finding the Fourth Proportional to 20,898.46, 28,840.35 and 11,467

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Solution

The fourth proportional to 20,898.46, 28,840.35 and 11,467 is: 15,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898.46 : 28,840.35 = 11,467 : x
  2. Step 2: Convert to fraction form
    20,898.46/28,840.35 = 11,467/x
  3. Step 3: Cross multiply
    20,898.46x = 28,840.35 × 11,467
  4. Step 4: Simplify right side
    20,898.46x = 330,712,293.45
  5. Step 5: Solve for x
    x = 330,712,293.45/20,898.46
  6. Step 6: Final answer
    x = 15,824.72

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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.