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Finding the Fourth Proportional to 17,842.98, 26,752.17 and 7,842.93

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Solution

The fourth proportional to 17,842.98, 26,752.17 and 7,842.93 is: 11,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,842.98 : 26,752.17 = 7,842.93 : x
  2. Step 2: Convert to fraction form
    17,842.98/26,752.17 = 7,842.93/x
  3. Step 3: Cross multiply
    17,842.98x = 26,752.17 × 7,842.93
  4. Step 4: Simplify right side
    17,842.98x = 209,815,325.75
  5. Step 5: Solve for x
    x = 209,815,325.75/17,842.98
  6. Step 6: Final answer
    x = 11,758.98

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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.