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Finding the Fourth Proportional to 15,580.43, 21,501.15 and 8,506.97

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Solution

The fourth proportional to 15,580.43, 21,501.15 and 8,506.97 is: 11,739.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,580.43 : 21,501.15 = 8,506.97 : x
  2. Step 2: Convert to fraction form
    15,580.43/21,501.15 = 8,506.97/x
  3. Step 3: Cross multiply
    15,580.43x = 21,501.15 × 8,506.97
  4. Step 4: Simplify right side
    15,580.43x = 182,909,638.02
  5. Step 5: Solve for x
    x = 182,909,638.02/15,580.43
  6. Step 6: Final answer
    x = 11,739.70

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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.