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Finding the Fourth Proportional to 40,894.48, 61,348.20 and 13,186

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Solution

The fourth proportional to 40,894.48, 61,348.20 and 13,186 is: 19,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,894.48 : 61,348.20 = 13,186 : x
  2. Step 2: Convert to fraction form
    40,894.48/61,348.20 = 13,186/x
  3. Step 3: Cross multiply
    40,894.48x = 61,348.20 × 13,186
  4. Step 4: Simplify right side
    40,894.48x = 808,937,365.20
  5. Step 5: Solve for x
    x = 808,937,365.20/40,894.48
  6. Step 6: Final answer
    x = 19,781.09

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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.