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Finding the Fourth Proportional to 15,605.34, 21,546.64 and 9,645.18

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Solution

The fourth proportional to 15,605.34, 21,546.64 and 9,645.18 is: 13,317.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,605.34 : 21,546.64 = 9,645.18 : x
  2. Step 2: Convert to fraction form
    15,605.34/21,546.64 = 9,645.18/x
  3. Step 3: Cross multiply
    15,605.34x = 21,546.64 × 9,645.18
  4. Step 4: Simplify right side
    15,605.34x = 207,821,221.20
  5. Step 5: Solve for x
    x = 207,821,221.20/15,605.34
  6. Step 6: Final answer
    x = 13,317.31

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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.