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Finding the Fourth Proportional to 15,566.76, 21,485.48 and 9,191

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Solution

The fourth proportional to 15,566.76, 21,485.48 and 9,191 is: 12,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,566.76 : 21,485.48 = 9,191 : x
  2. Step 2: Convert to fraction form
    15,566.76/21,485.48 = 9,191/x
  3. Step 3: Cross multiply
    15,566.76x = 21,485.48 × 9,191
  4. Step 4: Simplify right side
    15,566.76x = 197,473,046.68
  5. Step 5: Solve for x
    x = 197,473,046.68/15,566.76
  6. Step 6: Final answer
    x = 12,685.56

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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.