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Finding the Fourth Proportional to 15,580.12, 21,500.94 and 8,506.48

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Solution

The fourth proportional to 15,580.12, 21,500.94 and 8,506.48 is: 11,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.12 : 21,500.94 = 8,506.48 : x
  2. Step 2: Convert to fraction form
    15,580.12/21,500.94 = 8,506.48/x
  3. Step 3: Cross multiply
    15,580.12x = 21,500.94 × 8,506.48
  4. Step 4: Simplify right side
    15,580.12x = 182,897,316.09
  5. Step 5: Solve for x
    x = 182,897,316.09/15,580.12
  6. Step 6: Final answer
    x = 11,739.15

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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.