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Finding the Fourth Proportional to 16,746, 23,109.96 and 9,294.48

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Solution

The fourth proportional to 16,746, 23,109.96 and 9,294.48 is: 12,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746 : 23,109.96 = 9,294.48 : x
  2. Step 2: Convert to fraction form
    16,746/23,109.96 = 9,294.48/x
  3. Step 3: Cross multiply
    16,746x = 23,109.96 × 9,294.48
  4. Step 4: Simplify right side
    16,746x = 214,795,061.02
  5. Step 5: Solve for x
    x = 214,795,061.02/16,746
  6. Step 6: Final answer
    x = 12,826.65

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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.