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Finding the Fourth Proportional to 22,051.54, 33,033 and 10,188.70

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Solution

The fourth proportional to 22,051.54, 33,033 and 10,188.70 is: 15,262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051.54 : 33,033 = 10,188.70 : x
  2. Step 2: Convert to fraction form
    22,051.54/33,033 = 10,188.70/x
  3. Step 3: Cross multiply
    22,051.54x = 33,033 × 10,188.70
  4. Step 4: Simplify right side
    22,051.54x = 336,563,327.10
  5. Step 5: Solve for x
    x = 336,563,327.10/22,051.54
  6. Step 6: Final answer
    x = 15,262.58

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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.