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Finding the Fourth Proportional to 16,700.16, 23,050.38 and 9,630.84

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Solution

The fourth proportional to 16,700.16, 23,050.38 and 9,630.84 is: 13,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.16 : 23,050.38 = 9,630.84 : x
  2. Step 2: Convert to fraction form
    16,700.16/23,050.38 = 9,630.84/x
  3. Step 3: Cross multiply
    16,700.16x = 23,050.38 × 9,630.84
  4. Step 4: Simplify right side
    16,700.16x = 221,994,521.72
  5. Step 5: Solve for x
    x = 221,994,521.72/16,700.16
  6. Step 6: Final answer
    x = 13,292.96

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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.