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Finding the Fourth Proportional to 16,635.11, 24,929.76 and 7,282.95

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Solution

The fourth proportional to 16,635.11, 24,929.76 and 7,282.95 is: 10,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,635.11 : 24,929.76 = 7,282.95 : x
  2. Step 2: Convert to fraction form
    16,635.11/24,929.76 = 7,282.95/x
  3. Step 3: Cross multiply
    16,635.11x = 24,929.76 × 7,282.95
  4. Step 4: Simplify right side
    16,635.11x = 181,562,129.42
  5. Step 5: Solve for x
    x = 181,562,129.42/16,635.11
  6. Step 6: Final answer
    x = 10,914.40

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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.