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Finding the Fourth Proportional to 16,730.64, 23,118.36 and 12,006.72

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Solution

The fourth proportional to 16,730.64, 23,118.36 and 12,006.72 is: 16,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730.64 : 23,118.36 = 12,006.72 : x
  2. Step 2: Convert to fraction form
    16,730.64/23,118.36 = 12,006.72/x
  3. Step 3: Cross multiply
    16,730.64x = 23,118.36 × 12,006.72
  4. Step 4: Simplify right side
    16,730.64x = 277,575,675.38
  5. Step 5: Solve for x
    x = 277,575,675.38/16,730.64
  6. Step 6: Final answer
    x = 16,590.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.