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Finding the Fourth Proportional to 12,089, 18,135.12 and 5,165.12

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Solution

The fourth proportional to 12,089, 18,135.12 and 5,165.12 is: 7,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089 : 18,135.12 = 5,165.12 : x
  2. Step 2: Convert to fraction form
    12,089/18,135.12 = 5,165.12/x
  3. Step 3: Cross multiply
    12,089x = 18,135.12 × 5,165.12
  4. Step 4: Simplify right side
    12,089x = 93,670,071.01
  5. Step 5: Solve for x
    x = 93,670,071.01/12,089
  6. Step 6: Final answer
    x = 7,748.37

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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.