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Finding the Fourth Proportional to 17,055, 25,582.50 and 5,368.55

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Solution

The fourth proportional to 17,055, 25,582.50 and 5,368.55 is: 8,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055 : 25,582.50 = 5,368.55 : x
  2. Step 2: Convert to fraction form
    17,055/25,582.50 = 5,368.55/x
  3. Step 3: Cross multiply
    17,055x = 25,582.50 × 5,368.55
  4. Step 4: Simplify right side
    17,055x = 137,340,802.46
  5. Step 5: Solve for x
    x = 137,340,802.46/17,055
  6. Step 6: Final answer
    x = 8,052.82

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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.