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Finding the Fourth Proportional to 13,576.74, 20,384.55 and 10,077.54

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Solution

The fourth proportional to 13,576.74, 20,384.55 and 10,077.54 is: 15,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,576.74 : 20,384.55 = 10,077.54 : x
  2. Step 2: Convert to fraction form
    13,576.74/20,384.55 = 10,077.54/x
  3. Step 3: Cross multiply
    13,576.74x = 20,384.55 × 10,077.54
  4. Step 4: Simplify right side
    13,576.74x = 205,426,118.01
  5. Step 5: Solve for x
    x = 205,426,118.01/13,576.74
  6. Step 6: Final answer
    x = 15,130.74

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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.