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Finding the Fourth Proportional to 35,201.53, 52,814.09 and 11,510.17

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Solution

The fourth proportional to 35,201.53, 52,814.09 and 11,510.17 is: 17,269.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,201.53 : 52,814.09 = 11,510.17 : x
  2. Step 2: Convert to fraction form
    35,201.53/52,814.09 = 11,510.17/x
  3. Step 3: Cross multiply
    35,201.53x = 52,814.09 × 11,510.17
  4. Step 4: Simplify right side
    35,201.53x = 607,899,077.46
  5. Step 5: Solve for x
    x = 607,899,077.46/35,201.53
  6. Step 6: Final answer
    x = 17,269.11

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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.