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Finding the Fourth Proportional to 22,762.99, 34,159.92 and 7,972.03

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Solution

The fourth proportional to 22,762.99, 34,159.92 and 7,972.03 is: 11,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.99 : 34,159.92 = 7,972.03 : x
  2. Step 2: Convert to fraction form
    22,762.99/34,159.92 = 7,972.03/x
  3. Step 3: Cross multiply
    22,762.99x = 34,159.92 × 7,972.03
  4. Step 4: Simplify right side
    22,762.99x = 272,323,907.04
  5. Step 5: Solve for x
    x = 272,323,907.04/22,762.99
  6. Step 6: Final answer
    x = 11,963.45

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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.