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Finding the Fourth Proportional to 14,323.84, 19,768.32 and 9,617.92

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Solution

The fourth proportional to 14,323.84, 19,768.32 and 9,617.92 is: 13,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,323.84 : 19,768.32 = 9,617.92 : x
  2. Step 2: Convert to fraction form
    14,323.84/19,768.32 = 9,617.92/x
  3. Step 3: Cross multiply
    14,323.84x = 19,768.32 × 9,617.92
  4. Step 4: Simplify right side
    14,323.84x = 190,130,120.29
  5. Step 5: Solve for x
    x = 190,130,120.29/14,323.84
  6. Step 6: Final answer
    x = 13,273.68

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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.