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Finding the Fourth Proportional to 13,096.40, 18,074.02 and 7,432.14

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Solution

The fourth proportional to 13,096.40, 18,074.02 and 7,432.14 is: 10,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.40 : 18,074.02 = 7,432.14 : x
  2. Step 2: Convert to fraction form
    13,096.40/18,074.02 = 7,432.14/x
  3. Step 3: Cross multiply
    13,096.40x = 18,074.02 × 7,432.14
  4. Step 4: Simplify right side
    13,096.40x = 134,328,647.00
  5. Step 5: Solve for x
    x = 134,328,647.00/13,096.40
  6. Step 6: Final answer
    x = 10,256.91

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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.