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Finding the Fourth Proportional to 19,343.10, 29,014.65 and 16,232.70

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Solution

The fourth proportional to 19,343.10, 29,014.65 and 16,232.70 is: 24,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343.10 : 29,014.65 = 16,232.70 : x
  2. Step 2: Convert to fraction form
    19,343.10/29,014.65 = 16,232.70/x
  3. Step 3: Cross multiply
    19,343.10x = 29,014.65 × 16,232.70
  4. Step 4: Simplify right side
    19,343.10x = 470,986,109.06
  5. Step 5: Solve for x
    x = 470,986,109.06/19,343.10
  6. Step 6: Final answer
    x = 24,349.05

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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.