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Finding the Fourth Proportional to 15,534.48, 21,437.84 and 8,460.90

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Solution

The fourth proportional to 15,534.48, 21,437.84 and 8,460.90 is: 11,676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.48 : 21,437.84 = 8,460.90 : x
  2. Step 2: Convert to fraction form
    15,534.48/21,437.84 = 8,460.90/x
  3. Step 3: Cross multiply
    15,534.48x = 21,437.84 × 8,460.90
  4. Step 4: Simplify right side
    15,534.48x = 181,383,458.54
  5. Step 5: Solve for x
    x = 181,383,458.54/15,534.48
  6. Step 6: Final answer
    x = 11,676.18

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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.