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Finding the Fourth Proportional to 16,953.68, 23,396.11 and 9,400.10

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Solution

The fourth proportional to 16,953.68, 23,396.11 and 9,400.10 is: 12,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953.68 : 23,396.11 = 9,400.10 : x
  2. Step 2: Convert to fraction form
    16,953.68/23,396.11 = 9,400.10/x
  3. Step 3: Cross multiply
    16,953.68x = 23,396.11 × 9,400.10
  4. Step 4: Simplify right side
    16,953.68x = 219,925,633.13
  5. Step 5: Solve for x
    x = 219,925,633.13/16,953.68
  6. Step 6: Final answer
    x = 12,972.15

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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.