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Finding the Fourth Proportional to 13,798.24, 19,033.50 and 10,017

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Solution

The fourth proportional to 13,798.24, 19,033.50 and 10,017 is: 13,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,798.24 : 19,033.50 = 10,017 : x
  2. Step 2: Convert to fraction form
    13,798.24/19,033.50 = 10,017/x
  3. Step 3: Cross multiply
    13,798.24x = 19,033.50 × 10,017
  4. Step 4: Simplify right side
    13,798.24x = 190,658,569.50
  5. Step 5: Solve for x
    x = 190,658,569.50/13,798.24
  6. Step 6: Final answer
    x = 13,817.60

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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.