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Finding the Fourth Proportional to 13,822.68, 19,078.02 and 9,628.50

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Solution

The fourth proportional to 13,822.68, 19,078.02 and 9,628.50 is: 13,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.68 : 19,078.02 = 9,628.50 : x
  2. Step 2: Convert to fraction form
    13,822.68/19,078.02 = 9,628.50/x
  3. Step 3: Cross multiply
    13,822.68x = 19,078.02 × 9,628.50
  4. Step 4: Simplify right side
    13,822.68x = 183,692,715.57
  5. Step 5: Solve for x
    x = 183,692,715.57/13,822.68
  6. Step 6: Final answer
    x = 13,289.23

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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.