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Finding the Fourth Proportional to 26,987.29, 40,498.91 and 9,457.09

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Solution

The fourth proportional to 26,987.29, 40,498.91 and 9,457.09 is: 14,191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,987.29 : 40,498.91 = 9,457.09 : x
  2. Step 2: Convert to fraction form
    26,987.29/40,498.91 = 9,457.09/x
  3. Step 3: Cross multiply
    26,987.29x = 40,498.91 × 9,457.09
  4. Step 4: Simplify right side
    26,987.29x = 383,001,836.77
  5. Step 5: Solve for x
    x = 383,001,836.77/26,987.29
  6. Step 6: Final answer
    x = 14,191.93

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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.