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Finding the Fourth Proportional to 13,784.40, 19,022.40 and 10,252.80

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Solution

The fourth proportional to 13,784.40, 19,022.40 and 10,252.80 is: 14,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,784.40 : 19,022.40 = 10,252.80 : x
  2. Step 2: Convert to fraction form
    13,784.40/19,022.40 = 10,252.80/x
  3. Step 3: Cross multiply
    13,784.40x = 19,022.40 × 10,252.80
  4. Step 4: Simplify right side
    13,784.40x = 195,032,862.72
  5. Step 5: Solve for x
    x = 195,032,862.72/13,784.40
  6. Step 6: Final answer
    x = 14,148.81

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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.