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Finding the Fourth Proportional to 15,530.17, 21,431.76 and 8,815.81

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Solution

The fourth proportional to 15,530.17, 21,431.76 and 8,815.81 is: 12,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,530.17 : 21,431.76 = 8,815.81 : x
  2. Step 2: Convert to fraction form
    15,530.17/21,431.76 = 8,815.81/x
  3. Step 3: Cross multiply
    15,530.17x = 21,431.76 × 8,815.81
  4. Step 4: Simplify right side
    15,530.17x = 188,938,324.13
  5. Step 5: Solve for x
    x = 188,938,324.13/15,530.17
  6. Step 6: Final answer
    x = 12,165.89

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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.