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Finding the Fourth Proportional to 16,972.65, 23,416.98 and 9,894.06

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Solution

The fourth proportional to 16,972.65, 23,416.98 and 9,894.06 is: 13,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,972.65 : 23,416.98 = 9,894.06 : x
  2. Step 2: Convert to fraction form
    16,972.65/23,416.98 = 9,894.06/x
  3. Step 3: Cross multiply
    16,972.65x = 23,416.98 × 9,894.06
  4. Step 4: Simplify right side
    16,972.65x = 231,689,005.14
  5. Step 5: Solve for x
    x = 231,689,005.14/16,972.65
  6. Step 6: Final answer
    x = 13,650.73

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1.5x scale

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.