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Finding the Fourth Proportional to 12,243.34, 16,897.17 and 7,463.53

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Solution

The fourth proportional to 12,243.34, 16,897.17 and 7,463.53 is: 10,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,243.34 : 16,897.17 = 7,463.53 : x
  2. Step 2: Convert to fraction form
    12,243.34/16,897.17 = 7,463.53/x
  3. Step 3: Cross multiply
    12,243.34x = 16,897.17 × 7,463.53
  4. Step 4: Simplify right side
    12,243.34x = 126,112,535.21
  5. Step 5: Solve for x
    x = 126,112,535.21/12,243.34
  6. Step 6: Final answer
    x = 10,300.50

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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.