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Finding the Fourth Proportional to 22,509.48, 33,742.58 and 15,116

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Solution

The fourth proportional to 22,509.48, 33,742.58 and 15,116 is: 22,659.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.48 : 33,742.58 = 15,116 : x
  2. Step 2: Convert to fraction form
    22,509.48/33,742.58 = 15,116/x
  3. Step 3: Cross multiply
    22,509.48x = 33,742.58 × 15,116
  4. Step 4: Simplify right side
    22,509.48x = 510,052,839.28
  5. Step 5: Solve for x
    x = 510,052,839.28/22,509.48
  6. Step 6: Final answer
    x = 22,659.47

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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.