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Finding the Fourth Proportional to 17,702.96, 26,566.68 and 7,314.80

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Solution

The fourth proportional to 17,702.96, 26,566.68 and 7,314.80 is: 10,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,702.96 : 26,566.68 = 7,314.80 : x
  2. Step 2: Convert to fraction form
    17,702.96/26,566.68 = 7,314.80/x
  3. Step 3: Cross multiply
    17,702.96x = 26,566.68 × 7,314.80
  4. Step 4: Simplify right side
    17,702.96x = 194,329,950.86
  5. Step 5: Solve for x
    x = 194,329,950.86/17,702.96
  6. Step 6: Final answer
    x = 10,977.26

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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.