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Finding the Fourth Proportional to 23,236, 32,065.68 and 13,300

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Solution

The fourth proportional to 23,236, 32,065.68 and 13,300 is: 18,354

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,236 : 32,065.68 = 13,300 : x
  2. Step 2: Convert to fraction form
    23,236/32,065.68 = 13,300/x
  3. Step 3: Cross multiply
    23,236x = 32,065.68 × 13,300
  4. Step 4: Simplify right side
    23,236x = 426,473,544
  5. Step 5: Solve for x
    x = 426,473,544/23,236
  6. Step 6: Final answer
    x = 18,354

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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.