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Finding the Fourth Proportional to 17,705.66, 26,534.88 and 6,601.14

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Solution

The fourth proportional to 17,705.66, 26,534.88 and 6,601.14 is: 9,892.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.66 : 26,534.88 = 6,601.14 : x
  2. Step 2: Convert to fraction form
    17,705.66/26,534.88 = 6,601.14/x
  3. Step 3: Cross multiply
    17,705.66x = 26,534.88 × 6,601.14
  4. Step 4: Simplify right side
    17,705.66x = 175,160,457.76
  5. Step 5: Solve for x
    x = 175,160,457.76/17,705.66
  6. Step 6: Final answer
    x = 9,892.91

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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.