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Finding the Fourth Proportional to 17,684.17, 26,527.64 and 7,153.77

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Solution

The fourth proportional to 17,684.17, 26,527.64 and 7,153.77 is: 10,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.17 : 26,527.64 = 7,153.77 : x
  2. Step 2: Convert to fraction form
    17,684.17/26,527.64 = 7,153.77/x
  3. Step 3: Cross multiply
    17,684.17x = 26,527.64 × 7,153.77
  4. Step 4: Simplify right side
    17,684.17x = 189,772,635.20
  5. Step 5: Solve for x
    x = 189,772,635.20/17,684.17
  6. Step 6: Final answer
    x = 10,731.22

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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.