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Finding the Fourth Proportional to 12,638.07, 18,957.18 and 5,141.76

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Solution

The fourth proportional to 12,638.07, 18,957.18 and 5,141.76 is: 7,712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.07 : 18,957.18 = 5,141.76 : x
  2. Step 2: Convert to fraction form
    12,638.07/18,957.18 = 5,141.76/x
  3. Step 3: Cross multiply
    12,638.07x = 18,957.18 × 5,141.76
  4. Step 4: Simplify right side
    12,638.07x = 97,473,269.84
  5. Step 5: Solve for x
    x = 97,473,269.84/12,638.07
  6. Step 6: Final answer
    x = 7,712.67

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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.