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Finding the Fourth Proportional to 15,776.10, 23,646.24 and 7,968.42

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Solution

The fourth proportional to 15,776.10, 23,646.24 and 7,968.42 is: 11,943.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776.10 : 23,646.24 = 7,968.42 : x
  2. Step 2: Convert to fraction form
    15,776.10/23,646.24 = 7,968.42/x
  3. Step 3: Cross multiply
    15,776.10x = 23,646.24 × 7,968.42
  4. Step 4: Simplify right side
    15,776.10x = 188,423,171.74
  5. Step 5: Solve for x
    x = 188,423,171.74/15,776.10
  6. Step 6: Final answer
    x = 11,943.58

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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.