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Finding the Fourth Proportional to 14,724.99, 20,321.82 and 9,061.20

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Solution

The fourth proportional to 14,724.99, 20,321.82 and 9,061.20 is: 12,505.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,724.99 : 20,321.82 = 9,061.20 : x
  2. Step 2: Convert to fraction form
    14,724.99/20,321.82 = 9,061.20/x
  3. Step 3: Cross multiply
    14,724.99x = 20,321.82 × 9,061.20
  4. Step 4: Simplify right side
    14,724.99x = 184,140,075.38
  5. Step 5: Solve for x
    x = 184,140,075.38/14,724.99
  6. Step 6: Final answer
    x = 12,505.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.