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Finding the Fourth Proportional to 19,616.96, 29,424.48 and 7,304

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Solution

The fourth proportional to 19,616.96, 29,424.48 and 7,304 is: 10,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.96 : 29,424.48 = 7,304 : x
  2. Step 2: Convert to fraction form
    19,616.96/29,424.48 = 7,304/x
  3. Step 3: Cross multiply
    19,616.96x = 29,424.48 × 7,304
  4. Step 4: Simplify right side
    19,616.96x = 214,916,401.92
  5. Step 5: Solve for x
    x = 214,916,401.92/19,616.96
  6. Step 6: Final answer
    x = 10,955.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.