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Finding the Fourth Proportional to 15,645, 23,469.45 and 5,116.08

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Solution

The fourth proportional to 15,645, 23,469.45 and 5,116.08 is: 7,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645 : 23,469.45 = 5,116.08 : x
  2. Step 2: Convert to fraction form
    15,645/23,469.45 = 5,116.08/x
  3. Step 3: Cross multiply
    15,645x = 23,469.45 × 5,116.08
  4. Step 4: Simplify right side
    15,645x = 120,071,583.76
  5. Step 5: Solve for x
    x = 120,071,583.76/15,645
  6. Step 6: Final answer
    x = 7,674.76

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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.