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Finding the Fourth Proportional to 11,435.40, 17,153.10 and 9,491.40

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Solution

The fourth proportional to 11,435.40, 17,153.10 and 9,491.40 is: 14,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,435.40 : 17,153.10 = 9,491.40 : x
  2. Step 2: Convert to fraction form
    11,435.40/17,153.10 = 9,491.40/x
  3. Step 3: Cross multiply
    11,435.40x = 17,153.10 × 9,491.40
  4. Step 4: Simplify right side
    11,435.40x = 162,806,933.34
  5. Step 5: Solve for x
    x = 162,806,933.34/11,435.40
  6. Step 6: Final answer
    x = 14,237.10

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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.