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Finding the Fourth Proportional to 14,809.94, 20,449.50 and 9,152.90

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Solution

The fourth proportional to 14,809.94, 20,449.50 and 9,152.90 is: 12,638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.94 : 20,449.50 = 9,152.90 : x
  2. Step 2: Convert to fraction form
    14,809.94/20,449.50 = 9,152.90/x
  3. Step 3: Cross multiply
    14,809.94x = 20,449.50 × 9,152.90
  4. Step 4: Simplify right side
    14,809.94x = 187,172,228.55
  5. Step 5: Solve for x
    x = 187,172,228.55/14,809.94
  6. Step 6: Final answer
    x = 12,638.28

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