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Finding the Fourth Proportional to 15,534.92, 21,437.52 and 8,461.40

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Solution

The fourth proportional to 15,534.92, 21,437.52 and 8,461.40 is: 11,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.92 : 21,437.52 = 8,461.40 : x
  2. Step 2: Convert to fraction form
    15,534.92/21,437.52 = 8,461.40/x
  3. Step 3: Cross multiply
    15,534.92x = 21,437.52 × 8,461.40
  4. Step 4: Simplify right side
    15,534.92x = 181,391,431.73
  5. Step 5: Solve for x
    x = 181,391,431.73/15,534.92
  6. Step 6: Final answer
    x = 11,676.37

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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.