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Finding the Fourth Proportional to 16,699.24, 23,045 and 9,042.60

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Solution

The fourth proportional to 16,699.24, 23,045 and 9,042.60 is: 12,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,699.24 : 23,045 = 9,042.60 : x
  2. Step 2: Convert to fraction form
    16,699.24/23,045 = 9,042.60/x
  3. Step 3: Cross multiply
    16,699.24x = 23,045 × 9,042.60
  4. Step 4: Simplify right side
    16,699.24x = 208,386,717
  5. Step 5: Solve for x
    x = 208,386,717/16,699.24
  6. Step 6: Final answer
    x = 12,478.81

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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.