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Finding the Fourth Proportional to 13,071.92, 18,038.30 and 7,406.78

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Solution

The fourth proportional to 13,071.92, 18,038.30 and 7,406.78 is: 10,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.92 : 18,038.30 = 7,406.78 : x
  2. Step 2: Convert to fraction form
    13,071.92/18,038.30 = 7,406.78/x
  3. Step 3: Cross multiply
    13,071.92x = 18,038.30 × 7,406.78
  4. Step 4: Simplify right side
    13,071.92x = 133,605,592.45
  5. Step 5: Solve for x
    x = 133,605,592.45/13,071.92
  6. Step 6: Final answer
    x = 10,220.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.