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Finding the Fourth Proportional to 12,623.80, 17,406.48 and 10,348

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Solution

The fourth proportional to 12,623.80, 17,406.48 and 10,348 is: 14,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,623.80 : 17,406.48 = 10,348 : x
  2. Step 2: Convert to fraction form
    12,623.80/17,406.48 = 10,348/x
  3. Step 3: Cross multiply
    12,623.80x = 17,406.48 × 10,348
  4. Step 4: Simplify right side
    12,623.80x = 180,122,255.04
  5. Step 5: Solve for x
    x = 180,122,255.04/12,623.80
  6. Step 6: Final answer
    x = 14,268.47

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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.