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Finding the Fourth Proportional to 15,488.21, 21,373.47 and 8,414.58

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Solution

The fourth proportional to 15,488.21, 21,373.47 and 8,414.58 is: 11,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488.21 : 21,373.47 = 8,414.58 : x
  2. Step 2: Convert to fraction form
    15,488.21/21,373.47 = 8,414.58/x
  3. Step 3: Cross multiply
    15,488.21x = 21,373.47 × 8,414.58
  4. Step 4: Simplify right side
    15,488.21x = 179,848,853.34
  5. Step 5: Solve for x
    x = 179,848,853.34/15,488.21
  6. Step 6: Final answer
    x = 11,611.98

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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.