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Finding the Fourth Proportional to 22,762.64, 34,140.12 and 7,178

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Solution

The fourth proportional to 22,762.64, 34,140.12 and 7,178 is: 10,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.64 : 34,140.12 = 7,178 : x
  2. Step 2: Convert to fraction form
    22,762.64/34,140.12 = 7,178/x
  3. Step 3: Cross multiply
    22,762.64x = 34,140.12 × 7,178
  4. Step 4: Simplify right side
    22,762.64x = 245,057,781.36
  5. Step 5: Solve for x
    x = 245,057,781.36/22,762.64
  6. Step 6: Final answer
    x = 10,765.79

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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.