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Finding the Fourth Proportional to 27,638.60, 41,412.30 and 15,931.40

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Solution

The fourth proportional to 27,638.60, 41,412.30 and 15,931.40 is: 23,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638.60 : 41,412.30 = 15,931.40 : x
  2. Step 2: Convert to fraction form
    27,638.60/41,412.30 = 15,931.40/x
  3. Step 3: Cross multiply
    27,638.60x = 41,412.30 × 15,931.40
  4. Step 4: Simplify right side
    27,638.60x = 659,755,916.22
  5. Step 5: Solve for x
    x = 659,755,916.22/27,638.60
  6. Step 6: Final answer
    x = 23,870.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.