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Finding the Fourth Proportional to 23,774.38, 32,808.42 and 13,699.12

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Solution

The fourth proportional to 23,774.38, 32,808.42 and 13,699.12 is: 18,904.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.38 : 32,808.42 = 13,699.12 : x
  2. Step 2: Convert to fraction form
    23,774.38/32,808.42 = 13,699.12/x
  3. Step 3: Cross multiply
    23,774.38x = 32,808.42 × 13,699.12
  4. Step 4: Simplify right side
    23,774.38x = 449,446,482.59
  5. Step 5: Solve for x
    x = 449,446,482.59/23,774.38
  6. Step 6: Final answer
    x = 18,904.66

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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.