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Finding the Fourth Proportional to 19,862.30, 27,412.40 and 11,478.80

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Solution

The fourth proportional to 19,862.30, 27,412.40 and 11,478.80 is: 15,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,862.30 : 27,412.40 = 11,478.80 : x
  2. Step 2: Convert to fraction form
    19,862.30/27,412.40 = 11,478.80/x
  3. Step 3: Cross multiply
    19,862.30x = 27,412.40 × 11,478.80
  4. Step 4: Simplify right side
    19,862.30x = 314,661,367.87
  5. Step 5: Solve for x
    x = 314,661,367.87/19,862.30
  6. Step 6: Final answer
    x = 15,842.14

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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.