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Finding the Fourth Proportional to 17,802.18, 26,678.97 and 13,416.03

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Solution

The fourth proportional to 17,802.18, 26,678.97 and 13,416.03 is: 20,105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802.18 : 26,678.97 = 13,416.03 : x
  2. Step 2: Convert to fraction form
    17,802.18/26,678.97 = 13,416.03/x
  3. Step 3: Cross multiply
    17,802.18x = 26,678.97 × 13,416.03
  4. Step 4: Simplify right side
    17,802.18x = 357,925,861.89
  5. Step 5: Solve for x
    x = 357,925,861.89/17,802.18
  6. Step 6: Final answer
    x = 20,105.73

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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.