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Finding the Fourth Proportional to 15,309.60, 22,971.36 and 9,081.84

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Solution

The fourth proportional to 15,309.60, 22,971.36 and 9,081.84 is: 13,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309.60 : 22,971.36 = 9,081.84 : x
  2. Step 2: Convert to fraction form
    15,309.60/22,971.36 = 9,081.84/x
  3. Step 3: Cross multiply
    15,309.60x = 22,971.36 × 9,081.84
  4. Step 4: Simplify right side
    15,309.60x = 208,622,216.10
  5. Step 5: Solve for x
    x = 208,622,216.10/15,309.60
  6. Step 6: Final answer
    x = 13,626.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.