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Finding the Fourth Proportional to 17,733.47, 26,602.63 and 7,872.53

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Solution

The fourth proportional to 17,733.47, 26,602.63 and 7,872.53 is: 11,809.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.47 : 26,602.63 = 7,872.53 : x
  2. Step 2: Convert to fraction form
    17,733.47/26,602.63 = 7,872.53/x
  3. Step 3: Cross multiply
    17,733.47x = 26,602.63 × 7,872.53
  4. Step 4: Simplify right side
    17,733.47x = 209,429,850.06
  5. Step 5: Solve for x
    x = 209,429,850.06/17,733.47
  6. Step 6: Final answer
    x = 11,809.87

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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.