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Finding the Fourth Proportional to 17,705.34, 26,549.37 and 10,105.74

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Solution

The fourth proportional to 17,705.34, 26,549.37 and 10,105.74 is: 15,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.34 : 26,549.37 = 10,105.74 : x
  2. Step 2: Convert to fraction form
    17,705.34/26,549.37 = 10,105.74/x
  3. Step 3: Cross multiply
    17,705.34x = 26,549.37 × 10,105.74
  4. Step 4: Simplify right side
    17,705.34x = 268,301,030.38
  5. Step 5: Solve for x
    x = 268,301,030.38/17,705.34
  6. Step 6: Final answer
    x = 15,153.68

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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.