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Finding the Fourth Proportional to 16,242.19, 24,321.97 and 14,744.50

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Solution

The fourth proportional to 16,242.19, 24,321.97 and 14,744.50 is: 22,079.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.19 : 24,321.97 = 14,744.50 : x
  2. Step 2: Convert to fraction form
    16,242.19/24,321.97 = 14,744.50/x
  3. Step 3: Cross multiply
    16,242.19x = 24,321.97 × 14,744.50
  4. Step 4: Simplify right side
    16,242.19x = 358,615,244.29
  5. Step 5: Solve for x
    x = 358,615,244.29/16,242.19
  6. Step 6: Final answer
    x = 22,079.25

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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.