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Finding the Fourth Proportional to 27,348.47, 40,998.06 and 9,814.17

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Solution

The fourth proportional to 27,348.47, 40,998.06 and 9,814.17 is: 14,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348.47 : 40,998.06 = 9,814.17 : x
  2. Step 2: Convert to fraction form
    27,348.47/40,998.06 = 9,814.17/x
  3. Step 3: Cross multiply
    27,348.47x = 40,998.06 × 9,814.17
  4. Step 4: Simplify right side
    27,348.47x = 402,361,930.51
  5. Step 5: Solve for x
    x = 402,361,930.51/27,348.47
  6. Step 6: Final answer
    x = 14,712.41

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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.