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Finding the Fourth Proportional to 16,705.30, 23,053.53 and 9,151.78

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Solution

The fourth proportional to 16,705.30, 23,053.53 and 9,151.78 is: 12,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.30 : 23,053.53 = 9,151.78 : x
  2. Step 2: Convert to fraction form
    16,705.30/23,053.53 = 9,151.78/x
  3. Step 3: Cross multiply
    16,705.30x = 23,053.53 × 9,151.78
  4. Step 4: Simplify right side
    16,705.30x = 210,980,834.78
  5. Step 5: Solve for x
    x = 210,980,834.78/16,705.30
  6. Step 6: Final answer
    x = 12,629.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.