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Finding the Fourth Proportional to 15,505.41, 21,397.64 and 8,431.83

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Solution

The fourth proportional to 15,505.41, 21,397.64 and 8,431.83 is: 11,636.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505.41 : 21,397.64 = 8,431.83 : x
  2. Step 2: Convert to fraction form
    15,505.41/21,397.64 = 8,431.83/x
  3. Step 3: Cross multiply
    15,505.41x = 21,397.64 × 8,431.83
  4. Step 4: Simplify right side
    15,505.41x = 180,421,220.72
  5. Step 5: Solve for x
    x = 180,421,220.72/15,505.41
  6. Step 6: Final answer
    x = 11,636.02

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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.