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Finding the Fourth Proportional to 16,506.64, 24,700.80 and 14,293.11

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Solution

The fourth proportional to 16,506.64, 24,700.80 and 14,293.11 is: 21,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.64 : 24,700.80 = 14,293.11 : x
  2. Step 2: Convert to fraction form
    16,506.64/24,700.80 = 14,293.11/x
  3. Step 3: Cross multiply
    16,506.64x = 24,700.80 × 14,293.11
  4. Step 4: Simplify right side
    16,506.64x = 353,051,251.49
  5. Step 5: Solve for x
    x = 353,051,251.49/16,506.64
  6. Step 6: Final answer
    x = 21,388.44

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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.