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Finding the Fourth Proportional to 16,698, 25,025.13 and 9,305.94

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Solution

The fourth proportional to 16,698, 25,025.13 and 9,305.94 is: 13,946.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698 : 25,025.13 = 9,305.94 : x
  2. Step 2: Convert to fraction form
    16,698/25,025.13 = 9,305.94/x
  3. Step 3: Cross multiply
    16,698x = 25,025.13 × 9,305.94
  4. Step 4: Simplify right side
    16,698x = 232,882,358.27
  5. Step 5: Solve for x
    x = 232,882,358.27/16,698
  6. Step 6: Final answer
    x = 13,946.72

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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.