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Finding the Fourth Proportional to 13,045, 18,002.10 and 7,456.12

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Solution

The fourth proportional to 13,045, 18,002.10 and 7,456.12 is: 10,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,045 : 18,002.10 = 7,456.12 : x
  2. Step 2: Convert to fraction form
    13,045/18,002.10 = 7,456.12/x
  3. Step 3: Cross multiply
    13,045x = 18,002.10 × 7,456.12
  4. Step 4: Simplify right side
    13,045x = 134,225,817.85
  5. Step 5: Solve for x
    x = 134,225,817.85/13,045
  6. Step 6: Final answer
    x = 10,289.45

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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.