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Finding the Fourth Proportional to 17,705.38, 26,574.48 and 8,946.46

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Solution

The fourth proportional to 17,705.38, 26,574.48 and 8,946.46 is: 13,427.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.38 : 26,574.48 = 8,946.46 : x
  2. Step 2: Convert to fraction form
    17,705.38/26,574.48 = 8,946.46/x
  3. Step 3: Cross multiply
    17,705.38x = 26,574.48 × 8,946.46
  4. Step 4: Simplify right side
    17,705.38x = 237,747,522.34
  5. Step 5: Solve for x
    x = 237,747,522.34/17,705.38
  6. Step 6: Final answer
    x = 13,427.98

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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.