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Finding the Fourth Proportional to 41,130.76, 61,696.12 and 13,428.76

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Solution

The fourth proportional to 41,130.76, 61,696.12 and 13,428.76 is: 20,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,130.76 : 61,696.12 = 13,428.76 : x
  2. Step 2: Convert to fraction form
    41,130.76/61,696.12 = 13,428.76/x
  3. Step 3: Cross multiply
    41,130.76x = 61,696.12 × 13,428.76
  4. Step 4: Simplify right side
    41,130.76x = 828,502,388.41
  5. Step 5: Solve for x
    x = 828,502,388.41/41,130.76
  6. Step 6: Final answer
    x = 20,143.13

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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.