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Finding the Fourth Proportional to 22,081.16, 30,460.56 and 13,000.16

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Solution

The fourth proportional to 22,081.16, 30,460.56 and 13,000.16 is: 17,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,081.16 : 30,460.56 = 13,000.16 : x
  2. Step 2: Convert to fraction form
    22,081.16/30,460.56 = 13,000.16/x
  3. Step 3: Cross multiply
    22,081.16x = 30,460.56 × 13,000.16
  4. Step 4: Simplify right side
    22,081.16x = 395,992,153.69
  5. Step 5: Solve for x
    x = 395,992,153.69/22,081.16
  6. Step 6: Final answer
    x = 17,933.49

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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.