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Finding the Fourth Proportional to 14,356.70, 21,525.70 and 4,996

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Solution

The fourth proportional to 14,356.70, 21,525.70 and 4,996 is: 7,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.70 : 21,525.70 = 4,996 : x
  2. Step 2: Convert to fraction form
    14,356.70/21,525.70 = 4,996/x
  3. Step 3: Cross multiply
    14,356.70x = 21,525.70 × 4,996
  4. Step 4: Simplify right side
    14,356.70x = 107,542,397.20
  5. Step 5: Solve for x
    x = 107,542,397.20/14,356.70
  6. Step 6: Final answer
    x = 7,490.75

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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.