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Finding the Fourth Proportional to 14,892.30, 22,329.94 and 6,120

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Solution

The fourth proportional to 14,892.30, 22,329.94 and 6,120 is: 9,176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,892.30 : 22,329.94 = 6,120 : x
  2. Step 2: Convert to fraction form
    14,892.30/22,329.94 = 6,120/x
  3. Step 3: Cross multiply
    14,892.30x = 22,329.94 × 6,120
  4. Step 4: Simplify right side
    14,892.30x = 136,659,232.80
  5. Step 5: Solve for x
    x = 136,659,232.80/14,892.30
  6. Step 6: Final answer
    x = 9,176.50

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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.