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Finding the Fourth Proportional to 27,870.47, 41,817.96 and 13,078.12

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Solution

The fourth proportional to 27,870.47, 41,817.96 and 13,078.12 is: 19,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,870.47 : 41,817.96 = 13,078.12 : x
  2. Step 2: Convert to fraction form
    27,870.47/41,817.96 = 13,078.12/x
  3. Step 3: Cross multiply
    27,870.47x = 41,817.96 × 13,078.12
  4. Step 4: Simplify right side
    27,870.47x = 546,900,024.55
  5. Step 5: Solve for x
    x = 546,900,024.55/27,870.47
  6. Step 6: Final answer
    x = 19,622.92

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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.