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Finding the Fourth Proportional to 27,341.74, 40,996.41 and 12,342.70

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Solution

The fourth proportional to 27,341.74, 40,996.41 and 12,342.70 is: 18,506.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,341.74 : 40,996.41 = 12,342.70 : x
  2. Step 2: Convert to fraction form
    27,341.74/40,996.41 = 12,342.70/x
  3. Step 3: Cross multiply
    27,341.74x = 40,996.41 × 12,342.70
  4. Step 4: Simplify right side
    27,341.74x = 506,006,389.71
  5. Step 5: Solve for x
    x = 506,006,389.71/27,341.74
  6. Step 6: Final answer
    x = 18,506.74

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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.