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Finding the Fourth Proportional to 17,780.50, 26,670.76 and 5,468.50

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Solution

The fourth proportional to 17,780.50, 26,670.76 and 5,468.50 is: 8,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.50 : 26,670.76 = 5,468.50 : x
  2. Step 2: Convert to fraction form
    17,780.50/26,670.76 = 5,468.50/x
  3. Step 3: Cross multiply
    17,780.50x = 26,670.76 × 5,468.50
  4. Step 4: Simplify right side
    17,780.50x = 145,849,051.06
  5. Step 5: Solve for x
    x = 145,849,051.06/17,780.50
  6. Step 6: Final answer
    x = 8,202.75

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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.