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Finding the Fourth Proportional to 17,566.76, 26,350.14 and 7,178.50

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Solution

The fourth proportional to 17,566.76, 26,350.14 and 7,178.50 is: 10,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,566.76 : 26,350.14 = 7,178.50 : x
  2. Step 2: Convert to fraction form
    17,566.76/26,350.14 = 7,178.50/x
  3. Step 3: Cross multiply
    17,566.76x = 26,350.14 × 7,178.50
  4. Step 4: Simplify right side
    17,566.76x = 189,154,479.99
  5. Step 5: Solve for x
    x = 189,154,479.99/17,566.76
  6. Step 6: Final answer
    x = 10,767.75

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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.