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Finding the Fourth Proportional to 15,459.82, 23,193.09 and 5,071.18

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Solution

The fourth proportional to 15,459.82, 23,193.09 and 5,071.18 is: 7,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,459.82 : 23,193.09 = 5,071.18 : x
  2. Step 2: Convert to fraction form
    15,459.82/23,193.09 = 5,071.18/x
  3. Step 3: Cross multiply
    15,459.82x = 23,193.09 × 5,071.18
  4. Step 4: Simplify right side
    15,459.82x = 117,616,334.15
  5. Step 5: Solve for x
    x = 117,616,334.15/15,459.82
  6. Step 6: Final answer
    x = 7,607.87

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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.