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Finding the Fourth Proportional to 17,283.53, 23,849.76 and 9,626.23

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Solution

The fourth proportional to 17,283.53, 23,849.76 and 9,626.23 is: 13,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,283.53 : 23,849.76 = 9,626.23 : x
  2. Step 2: Convert to fraction form
    17,283.53/23,849.76 = 9,626.23/x
  3. Step 3: Cross multiply
    17,283.53x = 23,849.76 × 9,626.23
  4. Step 4: Simplify right side
    17,283.53x = 229,583,152.81
  5. Step 5: Solve for x
    x = 229,583,152.81/17,283.53
  6. Step 6: Final answer
    x = 13,283.35

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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.