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Finding the Fourth Proportional to 17,635.40, 26,429.08 and 9,726.06

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Solution

The fourth proportional to 17,635.40, 26,429.08 and 9,726.06 is: 14,575.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.40 : 26,429.08 = 9,726.06 : x
  2. Step 2: Convert to fraction form
    17,635.40/26,429.08 = 9,726.06/x
  3. Step 3: Cross multiply
    17,635.40x = 26,429.08 × 9,726.06
  4. Step 4: Simplify right side
    17,635.40x = 257,050,817.82
  5. Step 5: Solve for x
    x = 257,050,817.82/17,635.40
  6. Step 6: Final answer
    x = 14,575.84

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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.