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Finding the Fourth Proportional to 14,703.68, 22,029.84 and 12,254.24

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Solution

The fourth proportional to 14,703.68, 22,029.84 and 12,254.24 is: 18,359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,703.68 : 22,029.84 = 12,254.24 : x
  2. Step 2: Convert to fraction form
    14,703.68/22,029.84 = 12,254.24/x
  3. Step 3: Cross multiply
    14,703.68x = 22,029.84 × 12,254.24
  4. Step 4: Simplify right side
    14,703.68x = 269,958,946.52
  5. Step 5: Solve for x
    x = 269,958,946.52/14,703.68
  6. Step 6: Final answer
    x = 18,359.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.