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Finding the Fourth Proportional to 27,223.60, 40,841.16 and 12,428.40

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Solution

The fourth proportional to 27,223.60, 40,841.16 and 12,428.40 is: 18,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,223.60 : 40,841.16 = 12,428.40 : x
  2. Step 2: Convert to fraction form
    27,223.60/40,841.16 = 12,428.40/x
  3. Step 3: Cross multiply
    27,223.60x = 40,841.16 × 12,428.40
  4. Step 4: Simplify right side
    27,223.60x = 507,590,272.94
  5. Step 5: Solve for x
    x = 507,590,272.94/27,223.60
  6. Step 6: Final answer
    x = 18,645.23

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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.